From 69bfefc8f3bb274d8248ba9cec8ceb7f7edbfbe4 Mon Sep 17 00:00:00 2001 From: Xiaochuan Tian Date: Thu, 20 Jun 2024 22:01:04 -0400 Subject: [PATCH 01/10] Initial commit for the cookbook-cpo-olivine that uses the cookbook "Melt migration in a 2D mid-ocean ridge model" as a template. --- ...orientation_olivine_fraters_billen_2021.md | 211 ++++++++++++++++++ 1 file changed, 211 insertions(+) create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md new file mode 100644 index 00000000000..2b30e2cc174 --- /dev/null +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md @@ -0,0 +1,211 @@ +# Olivine Fabric Developments Under Simple Shear + +*This section was contributed by Xiaochuan Tian, Yijun Wang and Menno Fraters. It is +based on a section in {cite:t}`fraters_billen_2021_cpo` +by Menno Fraters and Magali Billen published in 2021.* + +This cookbook explains how to set up a numerical experiment for rock fabric +developments of a single olivine particle under simple shear macroscopic strain. +It uses ASPECT's +crystal preferred orientation implementation, which is described in detail in +{cite:t}`fraters_billen_2021_cpo` and the paper is open accessed at +[here](https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2021GC009846). +The fabric calculation is based on DRex (Kaminski et al., 2004) at +[here](https://academic.oup.com/gji/article/158/2/744/2013756). + +## Motivation +The Earth's plates can move relative to each other because the underlying mantle +can flow/(be deformed) to accommodate such motions. +This flowing motion reflects dynamics inside the planet but cannot be observed directly +as the depth of interest is beyond human's drilling ability. However, indirect observation +from seismic anisotropy provides information about directionality of the speed of seismic +waves that propagate inside the Earth. If such directionality is controlled by +the mantle's motion/deformation, we can then use seismic anisotropy observations +to infer mantle's deformation. + +People care about rock fabric developments under simple shear because it may +provide a bridge that links seismic anisotropy observations to the +flows in the upper mantle that accommodate plate motions. + +Olivine is the major mineral of the Earth's upper mantle where most deformation +takes place and we here focus on how olivine fabric develops under simple shear. + +We prescribe simple shear in a 3d Cartesian box/cube +with dimensions of $1 \times 1 \times 1 $ $[m^3]$. The shear strain rate +$\dot{\epsilon}_{xz} = 5\times 10^{-6} [s^{-1}]$. The olivine particle is placed +right at the center of the cubic box so it can stay stationary. +Solid +material is flowing in from the bottom with a prescribed temperature and +melting due to decompression as is rises. The model is cooled from the top so +that melt freezes again as it approaches this boundary. In addition, a fixed +plate velocity away from the ridge axis is prescribed at the top boundary, +inducing corner flow. Material can flow out freely at the right model +boundary. The model shows both how melt is focused towards the ridge axis, and +how melting and freezing induces chemical heterogeneity in the mantle, +generating the crust and lithosphere. A movie of the full model evolution can +be found [online](https://www.youtube.com/watch?v=f4Bc4lzdNP0). + +## The input file + +One important problem in models with melting and freezing (and other +reactions) is that these reactions can be much faster than the time step of +the model. For mid-ocean ridges, melt is generally assumed to be in +equilibrium with the solid, which means that the reaction is basically +instantaneous. To model these type of processes, ASPECT uses operator splitting (see +also {ref}`sec:benchmark:operator-splitting`): Reactions are solved +on a different time scale than advection. For this model, this means that at +the beginning of each time step, all melting reactions, including their latent +heat effects, are solved using several shorter sub-time steps. In the input +file, we have to choose both the size of these sub-time steps and the rate (or +characteristic time scale) of melting, and they have to be consistent in the +sense that the operator splitting time step can not be larger than the +reaction time scale. The melting model we use here is the anhydrous mantle +melting model of {cite:t}`katz:etal:2003` for a peridotitic rock +composition, as implemented in the "melt simple" material model. + +```{literalinclude} melting_and_freezing.part.prm +``` + +To make sure we reproduce the characteristic triangular melting region of a +mid-ocean ridge, we have to set up the boundary conditions in a way so that +they will lead to corner flow. At the top boundary, we can simply prescribe +the half-spreading rate, and at the left boundary we can use a free-slip +boundary, as material should not cross this centerline. However, we do not +know the inflow and outflow velocities at the bottom and right side of the +model. Instead, what we can do here is prescribing the lithostatic pressure as +a boundary condition for the stress. We accomplish this by using the +"initial lithostatic pressure" model. This plugin will +automatically compute a 1d lithostatic pressure profile at a given point at +the time of the model start and apply it as a boundary traction. + +```{literalinclude} boundary_conditions.part.prm +``` + +Finally, we have to make sure that the resolution is high enough to model melt +migration. This is particularly important in regions where the porosity is +low, but still high enough that the two-phase flow equations are solved +(instead of the Stokes system, which is solved if there is no melt present in +a cell). At the boundary between these regions, material properties like the +compaction viscosity may jump, and there may be strong gradients or jumps in +some solution variables such as the melt velocity and the compaction pressure. +In addition, the characteristic length scale for melt transport, the +compaction length $\delta$, depends on the porosity: +```{math} +\delta = \sqrt{\frac{(\xi+4\eta/3)k}{\eta_f}}. +``` + +While the melt viscosity +$\eta_f$ is usually assumed to be constant, and the shear and compaction +viscosities $\eta$ and $\xi$ increase with decreasing porosity $\phi$, the +permeability $k \propto \phi^2$ or $k \propto \phi^3$ dominates this relation, +so that the compaction length becomes smaller for lower porosities. As the +length scale of melt migration is usually smaller than for mantle convection, +we want to make sure that regions where melt is present have a high +resolution, and that this high resolution extends to all cells where the +two-phase flow equations are solved. + +```{literalinclude} mesh_refinement.part.prm +``` + +ASPECT also supports an alternative method to make sure that regions with melt are +sufficiently well resolved, relying directly on the compaction length, and we +will discuss this method as a possible modification to this cookbook at the +end of this section. + +The complete input file is located at +[cookbooks/mid_ocean_ridge/mid_ocean_ridge.prm](https://www.github.com/geodynamics/aspect/blob/main/cookbooks/mid_ocean_ridge/mid_ocean_ridge.prm). + +## Model evolution + +```{figure-md} fig:mid-ocean-ridge + + +Mid-ocean ridge model after 8 million years. The top panel shows the depletion and porosity fields (with the characteristic triangular melting region), the bottom panel shows the temperature distribution and the melt velocity, indicated by the arrows. +``` + +When we look at the visualization output of this model (see also +{numref}`fig:mid-ocean-ridge`), we can see how the hot material flowing in from the bottom +starts to melt as it reaches lower and lower pressures and crosses the +solidus. Simultaneously, melting makes the residual solid rock more depleted +(as indicated by the positive values of the compositional field called +'peridotite'). Once material approaches the surface, it is cooled +from the cold boundary layer above, and melt starts to crystallize again, +generating 'enriched' basaltic crust where is freezes (as +indicated by the negative values of the compositional field called +'peridotite'). As the temperature gradients are much sharper close +to the surface, this transition from melt to solid rock is much sharper than +in the melting region. Once material crystallizes, it is transported away from +the ridge axis due to the flow field induced by the prescribed plate velocity +at the top boundary. This way, over time, the classical triangular melting +region develops at the ridge axis, and the material transported away from the +ridge shows two distinct layers: The top $\approx 7$ km are enriched material, +and form the basaltic crust (negative peridotite field), and the $\approx 50$ +km below are depleted material, and form the lithosphere (positive peridotite +field). A vertical profile at a distance of 80 km from the ridge axis showing +this composition can be found in {numref}`fig:mid-ocean-ridge-profile`. + +```{figure-md} fig:mid-ocean-ridge-profile + + +Vertical profile through the model domain at a distance of 80 km from the ridge axis at the end of the model run, showing the distribution of depletion and enrichment as indicated by the peridotite field. +``` + +## Mesh refinement + +Another option for making sure that melt migration is resolved properly in the +model is using a refinement criterion that directly relates to the compaction +length. This can be done in the mesh refinement section of the input file: + +```{literalinclude} compaction_length.part.prm +``` + +This will lead to a higher resolution particularly in regions with low (but +not zero) porosity, and can be useful to resolve the strong gradients in the +melt velocity and compaction pressure that are to be expected in these places +(see {numref}`fig:mid-ocean-ridge-mesh`). Of course it is also possible to combine both methods +for refining the mesh. + +```{figure-md} fig:mid-ocean-ridge-mesh + + +Mesh after a time of 3.6 million years for a model using the composition threshold refinement strategy (left) and the compaction length refinement strategy (right) Background colors indicate the melt velocity. Its sharp gradients at the interface between regions with and without melt can only be resolved using the compaction length refinement strategy. +``` + +## Extending the model + +There are a number of parameters that influence the amount of melting, how +fast the melt moves, and ultimately the distribution of crustal and +lithospheric material. Some ideas for adapting the model setup: + +- Changing the spreading rate: This can be done by choosing a different + magnitude of the prescribed velocity at the top boundary, and influences + the size and shape of the triangular melting region. Faster spreading + allows hot material to move further away from the ridge axis, and hence + facilitates a melting region that extends further in horizontal direction. + +- Changing the temperature profile: This can be done by choosing a different + bottom boundary temperature and influences the amount of melting, and + hence the thickness of the crust. Higher temperatures lead to more melt + being generated. + +- Changing the speed of melt migration: The velocity of the melt with + respect to the solid velocity is determined by the permeability and the + melt viscosity (and the pressure gradients in the melt). Increasing the + permeability (by setting a different "Reference permeability" + in the melt simple model) can lead to higher melt velocities, melt + reaching the depth of freezing faster, and hence lower overall porosity + values at steady state. + +- Making the viscosity law more realistic: In this simple model, the + viscosity only depends on the amount of melt that is present and is + otherwise constant. This could be the reason why melt can not flow up all + the way up at the ridge axis, but freezes before it reaches the surface. + Introducing a temperature-dependent rheology could improve this behavior + (and in reality, plastic effects might also play a role). + +## References: +- Fraters, M. R. T., & Billen, M. I. (2021). +On the implementation and usability of crystal preferred orientation evolution in geodynamic modeling. Geochemistry, Geophysics, Geosystems, 22(10), e2021GC009846. + +- Kaminski, E., Ribe, N. M., & Browaeys, J. T. (2004). +D-Rex, a program for calculation of seismic anisotropy due to crystal lattice preferred orientation in the convective upper mantle. Geophysical Journal International, 158(2), 744–752. From beefe5b60a91e185908a62d62ba0be0915bfa144 Mon Sep 17 00:00:00 2001 From: Xiaochuan Tian Date: Thu, 20 Jun 2024 22:37:24 -0400 Subject: [PATCH 02/10] Adding general introduction with two sections: ##Motivation and ##Model Setup. It contains the Paraview state file (3D_shear_box_vel_particle.pvsm) for making the model setup figure. --- .../doc/3D_shear_box_vel_particle.pvsm | 15593 ++++++++++++++++ ...orientation_olivine_fraters_billen_2021.md | 28 +- .../doc/model_setup_3D_box.png | Bin 0 -> 256945 bytes 3 files changed, 15607 insertions(+), 14 deletions(-) create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/3D_shear_box_vel_particle.pvsm create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/model_setup_3D_box.png diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/3D_shear_box_vel_particle.pvsm b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/3D_shear_box_vel_particle.pvsm new file mode 100644 index 00000000000..16fee894f0f --- /dev/null +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/3D_shear_box_vel_particle.pvsm @@ -0,0 +1,15593 @@ + + + + + + + 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People care about rock fabric developments under simple shear because it may -provide a bridge that links seismic anisotropy observations to the +provide a bridge that links seismic anisotropy observations to the flows in the upper mantle that accommodate plate motions. -Olivine is the major mineral of the Earth's upper mantle where most deformation +## Model setup + +Olivine is the major mineral of the Earth's upper mantle where continuous deformation takes place and we here focus on how olivine fabric develops under simple shear. -We prescribe simple shear in a 3d Cartesian box/cube +We prescribe simple shear in a 3d Cartesian box/cube with dimensions of $1 \times 1 \times 1 $ $[m^3]$. The shear strain rate $\dot{\epsilon}_{xz} = 5\times 10^{-6} [s^{-1}]$. The olivine particle is placed -right at the center of the cubic box so it can stay stationary. -Solid -material is flowing in from the bottom with a prescribed temperature and -melting due to decompression as is rises. The model is cooled from the top so -that melt freezes again as it approaches this boundary. In addition, a fixed -plate velocity away from the ridge axis is prescribed at the top boundary, -inducing corner flow. Material can flow out freely at the right model -boundary. The model shows both how melt is focused towards the ridge axis, and -how melting and freezing induces chemical heterogeneity in the mantle, -generating the crust and lithosphere. A movie of the full model evolution can -be found [online](https://www.youtube.com/watch?v=f4Bc4lzdNP0). +right at the center of the cubic box so it stays stationary. The DRex implementation +keep tracks of rotations of crystal grains within the particle under macroscopic deformation. + +```{figure-md} fig:model_setup_3D_box + +3D shear box with velocity vectors. 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z&miuOT2Gw;x287WA$G^KY4<*{1WdJu6~-5-s++`|3eAMla8E`mdKP?Ywc$y-MHoFkJL)dS;^OLH9G`iU-2|+zuc9tuOnsSQEWCm=aKwWlnVj zy8Yd!UL&}_9cq{VT<&{jHT;6&^`I}yWoj=h=Yr8a9O%I59bTM?8bSAgd-|sTjp^RM zYf@ed93782Yt8u>{=MDsnCB~ZS#!?9*-@JpnrZQ0oZjHy7c=l(e~xJLPr&^P2l@HW zFR@pp0Hpb3M7;5qjR#&m{L#G)JuQkG{e{23j1Ez5{VY9IWs^NeyWWrC(>?lddT-{W zX9(x*AJL}=)iiBv*X|gXdw+qnX5_G9O^C2!uL{+cp=fk>i_>37E^OG+2SOavn>sx73~JyKeONV{y(Dp&%poy literal 0 HcmV?d00001 From f4bce03f1157287318d219b10222354c8b2a84b4 Mon Sep 17 00:00:00 2001 From: Xiaochuan Tian Date: Fri, 21 Jun 2024 00:49:32 -0400 Subject: [PATCH 03/10] documenting the input file. Adding a tip for using update_prm_files.sh to format the .prm input file so that it works with the 3.0 version. --- ...orientation_olivine_fraters_billen_2021.md | 30 ++++++++++++++---- .../doc/model_setup_3D_box.png | Bin 256945 -> 1604944 bytes 2 files changed, 23 insertions(+), 7 deletions(-) diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md index 8c1b3482d17..351668b280e 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md @@ -4,7 +4,7 @@ based on a section in {cite:t}`fraters_billen_2021_cpo` by Menno Fraters and Magali Billen published in 2021.* -This cookbook explains how to set up a numerical experiment for rock fabric +This cookbook explains how to set up a numerical experiment for fabric developments of a single olivine particle under simple shear macroscopic strain. It uses ASPECT's crystal preferred orientation implementation, which is described in detail in @@ -25,28 +25,39 @@ to infer mantle's deformation. People care about rock fabric developments under simple shear because it may provide a bridge that links seismic anisotropy observations to the -flows in the upper mantle that accommodate plate motions. +flows in the upper mantle that accommodate plate motions. Indeed, high temperature and +pressure lab experiments using Griggs apparatus to investigate olivine fabrics developments +under simple shear do find systematic types of fabrics based on the stress and water content conditions +(see Karato et al., 2008 for details). Here is a +[link](https://doi.org/10.1146/annurev.earth.36.031207.124120) to the paper. ## Model setup Olivine is the major mineral of the Earth's upper mantle where continuous deformation takes place and we here focus on how olivine fabric develops under simple shear. -We prescribe simple shear in a 3d Cartesian box/cube +Following {cite:t}`fraters_billen_2021_cpo`, we prescribe simple shear in a 3d Cartesian box/cube with dimensions of $1 \times 1 \times 1 $ $[m^3]$. The shear strain rate -$\dot{\epsilon}_{xz} = 5\times 10^{-6} [s^{-1}]$. The olivine particle is placed +$\dot{\epsilon}_{xz} = -5\times 10^{-6} [s^{-1}]$. The olivine particle is placed right at the center of the cubic box so it stays stationary. The DRex implementation keep tracks of rotations of crystal grains within the particle under macroscopic deformation. ```{figure-md} fig:model_setup_3D_box - + 3D shear box with velocity vectors. The grey ball is the central olivine particle. ``` -The model shows how crystal grains rotate and align under simple shear. +The model shows how crystal grains rotate and align under simple shear with pole figures. ## The input file +:::{tip} +Update the input file with update_prm_files.sh inside +/aspect/contrib/utilities if the model doesn't run. +See Pull Request #5873 +[conversations](https://github.com/geodynamics/aspect/pull/5873#issuecomment-2167145176) for detail. +::: + One important problem in models with melting and freezing (and other reactions) is that these reactions can be much faster than the time step of the model. For mid-ocean ridges, melt is generally assumed to be in @@ -115,10 +126,12 @@ end of this section. The complete input file is located at [cookbooks/mid_ocean_ridge/mid_ocean_ridge.prm](https://www.github.com/geodynamics/aspect/blob/main/cookbooks/mid_ocean_ridge/mid_ocean_ridge.prm). +## Plotting pole figure + ## Model evolution ```{figure-md} fig:mid-ocean-ridge - + Mid-ocean ridge model after 8 million years. The top panel shows the depletion and porosity fields (with the characteristic triangular melting region), the bottom panel shows the temperature distribution and the melt velocity, indicated by the arrows. ``` @@ -209,3 +222,6 @@ On the implementation and usability of crystal preferred orientation evolution i - Kaminski, E., Ribe, N. M., & Browaeys, J. T. (2004). D-Rex, a program for calculation of seismic anisotropy due to crystal lattice preferred orientation in the convective upper mantle. Geophysical Journal International, 158(2), 744–752. + +- Karato, S., Jung, H., Katayama, I., & Skemer, P. (2008). +Geodynamic significance of seismic anisotropy of the upper mantle: New insights from laboratory studies. Annu. Rev. Earth Planet. 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Also added is the pole figure result for type A olivine fabric. --- .../doc/Olivine_A_type.png | Bin 0 -> 561768 bytes .../doc/cpo_pole_figure_config.toml | 15 ++ .../olivineA.prm | 170 ++++++++++++++++++ .../particle_one.dat | 1 + 4 files changed, 186 insertions(+) create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/Olivine_A_type.png create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo_pole_figure_config.toml create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/particle_one.dat diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/Olivine_A_type.png b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/Olivine_A_type.png new file mode 100644 index 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sxi5W+UX!E*;49xJ`sbwjqWQmi{3p*nF#JdoAJ+}N@!D6fzV*TX3&XGKSpWb4 literal 0 HcmV?d00001 diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo_pole_figure_config.toml b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo_pole_figure_config.toml new file mode 100644 index 00000000000..771ad1b1210 --- /dev/null +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo_pole_figure_config.toml @@ -0,0 +1,15 @@ +base_dir = "/Users/tian_bc/Documents/postdoc/postdoc_meetings_workshops/2024-ASPECT-hack/aspect-output/drex_olivine_branch_CPO_based_on_yijun/main240613/" +experiment_dirs = ["out_drex_olivineE/"] +compressed = false + +[pole_figures] + elastisity_header = false #not yet implemented + small_figure = true + no_description_text = false #false + color_scale = "Gray" + times = [1.0,1e5,3e5] + particle_ids = [0] + axes = ["AAxis","BAxis","CAxis"] + minerals = ["Olivine","Enstatite"] + grain_data_file_prefix = "weighted_CPO" + particle_data_dir = "particles_cpo" \ No newline at end of file diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm new file mode 100644 index 00000000000..c24c70a38c5 --- /dev/null +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm @@ -0,0 +1,170 @@ +set CFL number = 0.01 ##Annotation CFL number +set Timing output frequency = 1000 +set Dimension = 3 +set Pressure normalization = surface +set Surface pressure = 0 +set Nonlinear solver scheme = single Advection, no Stokes +set End time = 3e5 +set Use years in output instead of seconds = false +set Output directory = out_drex_olivineA + +subsection Compositional fields + set Number of fields = 1 + set Names of fields = water + set Compositional field methods = static +end + +subsection Initial composition model + set Model name = function + + subsection Function + set Variable names = x,y,z + set Function expression = 0 + end +end + +subsection Gravity model + set Model name = vertical + + subsection Vertical + set Magnitude = 0 + end +end + +subsection Geometry model + set Model name = box + + subsection Box + set X extent = 1 + set Y extent = 1 + set Z extent = 1 + set Box origin X coordinate = -0.5 + set Box origin Y coordinate = -0.5 + set Box origin Z coordinate = -0.5 + end +end + +subsection Initial temperature model + set Model name = function + + subsection Function + set Function expression = 1 ## Annotation: Temperature function + end +end + +subsection Boundary temperature model + set List of model names = box + set Fixed temperature boundary indicators = bottom, top, left, right, front, back + + subsection Box + set Bottom temperature = 1 + set Left temperature = 1 + set Right temperature = 1 + set Top temperature = 1 + set Front temperature = 1 + set Back temperature = 1 + end +end + +subsection Boundary velocity model + subsection Function + set Variable names = x,y,z,t + set Function expression = z/1e5;0;0 ## Annotation set velocity condition + end +end + +subsection Prescribed Stokes solution + set Model name = function + + subsection Velocity function + set Variable names = x,y,z,t + set Function expression = z/1e5;0;0 ## Annotation set velocity condition + end +end + +subsection Material model + set Model name = simple + + subsection Simple model + set Reference density = 1 + set Reference specific heat = 1 + set Reference temperature = 1 + set Thermal conductivity = 1 + set Thermal expansion coefficient = 1e-10 + set Viscosity = 1 + end +end + +subsection Mesh refinement + set Initial global refinement = 1 + set Initial adaptive refinement = 0 + set Time steps between mesh refinement = 10000 +end + +subsection Postprocess + set List of postprocessors = velocity statistics, visualization, particles, crystal preferred orientation + + subsection Visualization + set Time between graphical output = 1e5 + set List of output variables = stress, viscosity, strain rate + end + + subsection Crystal Preferred Orientation + set Time between data output = 1e5 + set Write in background thread = true + set Compress cpo data files = false + set Write out raw cpo data = mineral 0: volume fraction, mineral 0: Euler angles #, mineral 1: volume fraction, mineral 1: Euler angles + set Write out draw volume weighted cpo data = mineral 0: volume fraction, mineral 0: Euler angles, mineral 1: volume fraction, mineral 1: Euler angles + end + + subsection Particles + set Time between data output = 1e4 + set Data output format = vtu + set Exclude output properties = volume fraction, rotation_matrix + end +end + +subsection Solver parameters + set Temperature solver tolerance = 1e-10 +end + +subsection Particles + set List of particle properties = integrated strain, crystal preferred orientation, cpo elastic tensor, cpo bingham average, integrated strain invariant, velocity, pT path + + #set Load balancing strategy = add particles + #set Minimum particles per cell = 128 + #set Maximum particles per cell = 512 + set Particle generator name = ascii file + + subsection Generator + subsection Ascii file + set Data directory = /Users/tian_bc/Documents/postdoc/postdoc_meetings_workshops/2024-ASPECT-hack/aspect-output/drex_olivine_branch_CPO_based_on_yijun/main240613/ + set Data file name = particle_one.dat + end + end + + subsection Crystal Preferred Orientation + set Random number seed = 301 + set Number of grains per particle = 500 ## Annotation grain count + set Property advection method = Backward Euler ## Annotation Property advection method + set Property advection tolerance = 1e-15 + set CPO derivatives algorithm = D-Rex 2004 + + subsection Initial grains + set Minerals = Olivine: A-fabric, Enstatite ## Annotation Minerals + set Volume fractions minerals = 0.7,0.3 ## Annotation Volume fractions minerals + end + + subsection D-Rex 2004 + set Mobility = 125 ## 125+-75 Annotation LPO Mobility + set Stress exponents = 3.5 + set Exponents p = 1.5 + set Nucleation efficiency = 5 ## Annotation Nucleation efficientcy + set Threshold GBS = 0.3 ## Annotation TGBS + end + end + + subsection CPO Bingham Average + set Random number seed = 200 + end +end diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/particle_one.dat b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/particle_one.dat new file mode 100644 index 00000000000..d5e8e721f44 --- /dev/null +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/particle_one.dat @@ -0,0 +1 @@ +0 0 0 \ No newline at end of file From 44c2454d3eed8bd8fe52d1f6283fc3a8aacc565f Mon Sep 17 00:00:00 2001 From: Xiaochuan Tian Date: Fri, 21 Jun 2024 13:23:29 -0400 Subject: [PATCH 05/10] Adding input file part for flow field and geometry prescribe_stokes.part.prm --- ...orientation_olivine_fraters_billen_2021.md | 27 +++++++--- .../doc/prescribe_stokes.part.prm | 54 +++++++++++++++++++ 2 files changed, 75 insertions(+), 6 deletions(-) create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/prescribe_stokes.part.prm diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md index 351668b280e..17f13517f9d 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md @@ -7,13 +7,16 @@ by Menno Fraters and Magali Billen published in 2021.* This cookbook explains how to set up a numerical experiment for fabric developments of a single olivine particle under simple shear macroscopic strain. It uses ASPECT's -crystal preferred orientation implementation, which is described in detail in +crystal preferred orientation (CPO) implementation, which is described in detail in {cite:t}`fraters_billen_2021_cpo` and the paper is open accessed at [here](https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2021GC009846). The fabric calculation is based on DRex (Kaminski et al., 2004) at [here](https://academic.oup.com/gji/article/158/2/744/2013756). +This notebook describe how to use ASPECT CPO implementation to calculate the major +olivine fabrics observed in the lab experiments. It focuses on reproducing Fig. 3 +of {cite}`fraters_billen_2021_cpo`. -## Motivation +### Motivation The Earth's plates can move relative to each other because the underlying mantle can flow/(be deformed) to accommodate such motions. This flowing motion reflects dynamics inside the planet but cannot be observed directly @@ -23,7 +26,8 @@ waves that propagate inside the Earth. If such directionality is controlled by the mantle's motion/deformation, we can then use seismic anisotropy observations to infer mantle's deformation. -People care about rock fabric developments under simple shear because it may +Olivine is a major mineral of the Earth's upper mantle where continuous deformation +takes place. People care about olivine fabric developments under simple shear as it may provide a bridge that links seismic anisotropy observations to the flows in the upper mantle that accommodate plate motions. Indeed, high temperature and pressure lab experiments using Griggs apparatus to investigate olivine fabrics developments @@ -33,9 +37,6 @@ under simple shear do find systematic types of fabrics based on the stress and w ## Model setup -Olivine is the major mineral of the Earth's upper mantle where continuous deformation -takes place and we here focus on how olivine fabric develops under simple shear. - Following {cite:t}`fraters_billen_2021_cpo`, we prescribe simple shear in a 3d Cartesian box/cube with dimensions of $1 \times 1 \times 1 $ $[m^3]$. The shear strain rate $\dot{\epsilon}_{xz} = -5\times 10^{-6} [s^{-1}]$. The olivine particle is placed @@ -58,6 +59,20 @@ See Pull Request #5873 [conversations](https://github.com/geodynamics/aspect/pull/5873#issuecomment-2167145176) for detail. ::: +Instead of solving Stokes equation with initial and boundary conditions, we instead prescribe +a constant simple shear strain rate field by setting Nonlinear solver scheme to +"single Advecgion, no Stokes" and +prescribing the Stokes solution with a function. In this case, what we only care is the +prescribed strain rate that is exerted onto the olivine particle. Parameters useful for the Stokes +equation is not important in this case: + +```{literalinclude} prescribe_stokes.part.prm +``` + +overview of your model setup, including the initial conditions, boundary conditions, geometry, etc., + and anything that is special about the setup. + + One important problem in models with melting and freezing (and other reactions) is that these reactions can be much faster than the time step of the model. For mid-ocean ridges, melt is generally assumed to be in diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/prescribe_stokes.part.prm b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/prescribe_stokes.part.prm new file mode 100644 index 00000000000..284dc4cd5d6 --- /dev/null +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/prescribe_stokes.part.prm @@ -0,0 +1,54 @@ +# we prescribe the simple shear strain rate by setting solver scheme +# as "single Advection, no Stokes" +# see below "subsection Prescribed Stokes solution " +set Nonlinear solver scheme = single Advection, no Stokes +# The model run to 3e5 seconds, at which the total strain will +# be 1.5 with strain rate of 5e-6 1/s. +set End time = 3e5 +set Use years in output instead of seconds = false + +# Set zero gravity +subsection Gravity model + set Model name = vertical + + subsection Vertical + set Magnitude = 0 + end +end + +# 1m by 1m by 1m cube +# center is at (0,0,0) +subsection Geometry model + set Model name = box + + subsection Box + set X extent = 1 + set Y extent = 1 + set Z extent = 1 + set Box origin X coordinate = -0.5 + set Box origin Y coordinate = -0.5 + set Box origin Z coordinate = -0.5 + end +end + +# Here prescribing velocity field so that it results in +# simple shear strain rate epsilon_xz = -5e6 1/s +# as z ranges from -0.5 to 0.5 meter. +subsection Prescribed Stokes solution + set Model name = function + + subsection Velocity function + set Variable names = x,y,z,t + set Function expression = z/1e5;0;0 ## Annotation set velocity condition + end +end + +# The default X,Y,Z repetitions is 1, so will be 2 by 2 by 2 grids without refinement +# Here with setting "Initial global refinement" to be 1, it becomes +4 by 4 by 4 grids. +subsection Mesh refinement + set Initial global refinement = 1 + set Initial adaptive refinement = 0 + set Time steps between mesh refinement = 10000 +end + From e986dd5f0796cc5491abb3d7b099613a56fcd7b0 Mon Sep 17 00:00:00 2001 From: Xiaochuan Tian Date: Fri, 21 Jun 2024 15:05:09 -0400 Subject: [PATCH 06/10] Adding input file code snippets with descriptions. --- .../doc/cpo.part.prm | 78 +++++++++++++++++++ ...orientation_olivine_fraters_billen_2021.md | 73 ++--------------- 2 files changed, 83 insertions(+), 68 deletions(-) create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo.part.prm diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo.part.prm b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo.part.prm new file mode 100644 index 00000000000..9e3754ffe48 --- /dev/null +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo.part.prm @@ -0,0 +1,78 @@ +#specify posstprocessor objects that will be run at the end of each time step +#The statistics is important for cpo plotter for reading the data +#The particles and crystal preferred orientation are required for CPO calculations +subsection Postprocess + set List of postprocessors = velocity statistics, visualization, particles, crystal preferred orientation + #specify data output for visualizing in paraview or visit + subsection Visualization + set Time between graphical output = 1e5 + set List of output variables = stress, viscosity, strain rate + end + #specify CPO data output + subsection Crystal Preferred Orientation + set Time between data output = 1e5 + set Write in background thread = true + set Compress cpo data files = false # so results are human readable + set Write out raw cpo data = mineral 0: volume fraction, mineral 0: Euler angles #, mineral 1: volume fraction, mineral 1: Euler angles #specify what to output, here will only output volume fraction and Euler angles for mineral 0 (olivine) + set Write out draw volume weighted cpo data = mineral 0: volume fraction, mineral 0: Euler angles, mineral 1: volume fraction, mineral 1: Euler angles + #specify output parameters for draw volume weighted cpo, the pole figures are plotted with these data + end + # Here is for data results read by paraview and visit + # Exclude output properties so as to allow fast reading by paraview + # because if number of particles is large, paraview will crash + subsection Particles + set Time between data output = 1e4 + set Data output format = vtu + set Exclude output properties = volume fraction, rotation_matrix + end +end + +# subsection Particles was part of subsection Postprocess but from V3.0 it standalone +subsection Particles + set List of particle properties = integrated strain, crystal preferred orientation, cpo elastic tensor, cpo bingham average, integrated strain invariant, velocity, pT path #what particle properties are calculated + # When specifying locations for particles using subsection Generator below, below 3 lines are commented + #set Load balancing strategy = add particles + #set Minimum particles per cell = 128 + #set Maximum particles per cell = 512 + # use a ascii file particle_one.dat to specify initial locations of particles + set Particle generator name = ascii file + # + subsection Generator + subsection Ascii file + # you may need to change the below path to the absolute path in your local computer + # the particle_one.dat is located in the cookbook folder + set Data directory = /aspect/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/ + set Data file name = particle_one.dat + end + end + # parameters for DRex + subsection Crystal Preferred Orientation + # a random seed to 'randomize' initial Euler angles for the grains + set Random number seed = 301 + set Number of grains per particle = 500 ## Annotation grain count + set Property advection method = Backward Euler ## Annotation Property advection method + set Property advection tolerance = 1e-15 + set CPO derivatives algorithm = D-Rex 2004 + + subsection Initial grains + # prescribe types of mineral + # The A,B,C,D,E types of olivine fabric can be set here by changing + # A-fabric to B-fabric for example + set Minerals = Olivine: A-fabric, Enstatite ## Annotation Minerals + # The two minerals are not interacting with each other. + set Volume fractions minerals = 0.7,0.3 ## Annotation Volume fractions minerals + end + # DRex parameters following Kaminski et al., 2004 + subsection D-Rex 2004 + set Mobility = 125 ## 125+-75 Annotation LPO Mobility + set Stress exponents = 3.5 + set Exponents p = 1.5 + set Nucleation efficiency = 5 ## Annotation Nucleation efficientcy + set Threshold GBS = 0.3 ## Annotation TGBS + end + end + + subsection CPO Bingham Average + set Random number seed = 200 + end +end \ No newline at end of file diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md index 17f13517f9d..f3575029b2e 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md @@ -64,82 +64,19 @@ a constant simple shear strain rate field by setting Nonlinear solver scheme to "single Advecgion, no Stokes" and prescribing the Stokes solution with a function. In this case, what we only care is the prescribed strain rate that is exerted onto the olivine particle. Parameters useful for the Stokes -equation is not important in this case: +equation is not important in this case. ```{literalinclude} prescribe_stokes.part.prm ``` -overview of your model setup, including the initial conditions, boundary conditions, geometry, etc., - and anything that is special about the setup. - - -One important problem in models with melting and freezing (and other -reactions) is that these reactions can be much faster than the time step of -the model. For mid-ocean ridges, melt is generally assumed to be in -equilibrium with the solid, which means that the reaction is basically -instantaneous. To model these type of processes, ASPECT uses operator splitting (see -also {ref}`sec:benchmark:operator-splitting`): Reactions are solved -on a different time scale than advection. For this model, this means that at -the beginning of each time step, all melting reactions, including their latent -heat effects, are solved using several shorter sub-time steps. In the input -file, we have to choose both the size of these sub-time steps and the rate (or -characteristic time scale) of melting, and they have to be consistent in the -sense that the operator splitting time step can not be larger than the -reaction time scale. The melting model we use here is the anhydrous mantle -melting model of {cite:t}`katz:etal:2003` for a peridotitic rock -composition, as implemented in the "melt simple" material model. - -```{literalinclude} melting_and_freezing.part.prm -``` - -To make sure we reproduce the characteristic triangular melting region of a -mid-ocean ridge, we have to set up the boundary conditions in a way so that -they will lead to corner flow. At the top boundary, we can simply prescribe -the half-spreading rate, and at the left boundary we can use a free-slip -boundary, as material should not cross this centerline. However, we do not -know the inflow and outflow velocities at the bottom and right side of the -model. Instead, what we can do here is prescribing the lithostatic pressure as -a boundary condition for the stress. We accomplish this by using the -"initial lithostatic pressure" model. This plugin will -automatically compute a 1d lithostatic pressure profile at a given point at -the time of the model start and apply it as a boundary traction. - -```{literalinclude} boundary_conditions.part.prm -``` +The second part of the input file specify what to output and what minerals to keep track of +CPO development. It also specifies the parameters for the DRex algorithm. -Finally, we have to make sure that the resolution is high enough to model melt -migration. This is particularly important in regions where the porosity is -low, but still high enough that the two-phase flow equations are solved -(instead of the Stokes system, which is solved if there is no melt present in -a cell). At the boundary between these regions, material properties like the -compaction viscosity may jump, and there may be strong gradients or jumps in -some solution variables such as the melt velocity and the compaction pressure. -In addition, the characteristic length scale for melt transport, the -compaction length $\delta$, depends on the porosity: -```{math} -\delta = \sqrt{\frac{(\xi+4\eta/3)k}{\eta_f}}. +```{literalinclude} cpo.part.prm ``` -While the melt viscosity -$\eta_f$ is usually assumed to be constant, and the shear and compaction -viscosities $\eta$ and $\xi$ increase with decreasing porosity $\phi$, the -permeability $k \propto \phi^2$ or $k \propto \phi^3$ dominates this relation, -so that the compaction length becomes smaller for lower porosities. As the -length scale of melt migration is usually smaller than for mantle convection, -we want to make sure that regions where melt is present have a high -resolution, and that this high resolution extends to all cells where the -two-phase flow equations are solved. - -```{literalinclude} mesh_refinement.part.prm -``` - -ASPECT also supports an alternative method to make sure that regions with melt are -sufficiently well resolved, relying directly on the compaction length, and we -will discuss this method as a possible modification to this cookbook at the -end of this section. - The complete input file is located at -[cookbooks/mid_ocean_ridge/mid_ocean_ridge.prm](https://www.github.com/geodynamics/aspect/blob/main/cookbooks/mid_ocean_ridge/mid_ocean_ridge.prm). +[/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm](https://www.github.com/geodynamics/aspect/blob/main/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm). ## Plotting pole figure From 6d086588916f63769cdb5493008d6fbd2397865d Mon Sep 17 00:00:00 2001 From: Xiaochuan Tian Date: Fri, 21 Jun 2024 15:33:18 -0400 Subject: [PATCH 07/10] Adding CPO pole figure results and initial random distribution pole figure. --- .../doc/Olivine_fabrics.svg | 25590 ++++++++++++++++ ...orientation_olivine_fraters_billen_2021.md | 58 +- .../doc/initial_random_cpo.png | Bin 0 -> 655769 bytes 3 files changed, 25601 insertions(+), 47 deletions(-) create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/Olivine_fabrics.svg create mode 100644 cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/initial_random_cpo.png diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/Olivine_fabrics.svg b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/Olivine_fabrics.svg new file mode 100644 index 00000000000..980fc4c9cc9 --- /dev/null +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/Olivine_fabrics.svg @@ -0,0 +1,25590 @@ + + + +A[001][010][001]BCDE diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md index f3575029b2e..3efa779d0ca 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md @@ -80,61 +80,25 @@ The complete input file is located at ## Plotting pole figure -## Model evolution +## Model results +```{figure-md} fig:initCPO + -```{figure-md} fig:mid-ocean-ridge - - -Mid-ocean ridge model after 8 million years. The top panel shows the depletion and porosity fields (with the characteristic triangular melting region), the bottom panel shows the temperature distribution and the melt velocity, indicated by the arrows. -``` - -When we look at the visualization output of this model (see also -{numref}`fig:mid-ocean-ridge`), we can see how the hot material flowing in from the bottom -starts to melt as it reaches lower and lower pressures and crosses the -solidus. Simultaneously, melting makes the residual solid rock more depleted -(as indicated by the positive values of the compositional field called -'peridotite'). Once material approaches the surface, it is cooled -from the cold boundary layer above, and melt starts to crystallize again, -generating 'enriched' basaltic crust where is freezes (as -indicated by the negative values of the compositional field called -'peridotite'). As the temperature gradients are much sharper close -to the surface, this transition from melt to solid rock is much sharper than -in the melting region. Once material crystallizes, it is transported away from -the ridge axis due to the flow field induced by the prescribed plate velocity -at the top boundary. This way, over time, the classical triangular melting -region develops at the ridge axis, and the material transported away from the -ridge shows two distinct layers: The top $\approx 7$ km are enriched material, -and form the basaltic crust (negative peridotite field), and the $\approx 50$ -km below are depleted material, and form the lithosphere (positive peridotite -field). A vertical profile at a distance of 80 km from the ridge axis showing -this composition can be found in {numref}`fig:mid-ocean-ridge-profile`. - -```{figure-md} fig:mid-ocean-ridge-profile - - -Vertical profile through the model domain at a distance of 80 km from the ridge axis at the end of the model run, showing the distribution of depletion and enrichment as indicated by the peridotite field. +Initial randomized CPO at time zero. ``` -## Mesh refinement +```{figure-md} fig:olivine_fabrics + -Another option for making sure that melt migration is resolved properly in the -model is using a refinement criterion that directly relates to the compaction -length. This can be done in the mesh refinement section of the input file: - -```{literalinclude} compaction_length.part.prm +Olivine A-E type fabrics under simple shear with a shear strain of 1.5 +at 3e5 seconds of model time under constant shear strain rate: + $\dot{\epsilon}_{xz} = -5\times 10^{-6} [s^{-1}]$ ``` -This will lead to a higher resolution particularly in regions with low (but -not zero) porosity, and can be useful to resolve the strong gradients in the -melt velocity and compaction pressure that are to be expected in these places -(see {numref}`fig:mid-ocean-ridge-mesh`). Of course it is also possible to combine both methods -for refining the mesh. +When we look at the visualization output of this model (see also +{numref}`fig:olivine_fabrics`), we can see -```{figure-md} fig:mid-ocean-ridge-mesh - -Mesh after a time of 3.6 million years for a model using the composition threshold refinement strategy (left) and the compaction length refinement strategy (right) Background colors indicate the melt velocity. Its sharp gradients at the interface between regions with and without melt can only be resolved using the compaction length refinement strategy. -``` ## Extending the model diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/initial_random_cpo.png b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/initial_random_cpo.png new file mode 100644 index 0000000000000000000000000000000000000000..76861c61dcd36f0e6524f1321d4ede72bff5ebd3 GIT binary patch literal 655769 zcmdqK3tW_S`aV2>XZ}W78@ricO1b`8Wj9MR5!_AJ$jY|X+*O2jP2EyLqXYzIurhT` zDXmyjp|;G@pJAFD6d23{Dk_y{K?VUC56EyHU{3FK-QQ;hENlC}pWpv|-_OhEi5>@- zd7kg#zOVbbuls&hJoV(HzJ2cOqtog7hCe#tX`QY|l1}GyxtBLyNjzQjcU>Q^=fWra z{?GAV*DJi<4hmlr6yAU3mUVk3O_(re&YWkb;wz3{)}#L?zFy&5Pn*V1nKS2)f1L2f zp7rbclsrCXTHLE~aZ^h8k&pj<*RiS7X1;prhu>NPy;F`%o#x1VZ(Uxm!LM!oV)xZ8 zTb=$#9*^wSZ?F1wSLyTj2EVqvVhew07^r*Au$FIHtv8os7#*#pG3wh!!=@&4iAis} zo~^zepE@o79|g6=1^@l-(~k|?bdzsUO%F!x!-uqFzPk=zWfpsTllI4ao2JZHoc4D2 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sxi5W+UX!E*;49xJ`sbwjqWQmi{3p*nF#JdoAJ+}N@!D6fzV*TX3&XGKSpWb4 From 260bfbce500a4edb9861160c9cb11f7ef25e31ad Mon Sep 17 00:00:00 2001 From: Xiaochuan Tian Date: Fri, 21 Jun 2024 15:40:42 -0400 Subject: [PATCH 09/10] First complete draft for this cook book --- ...orientation_olivine_fraters_billen_2021.md | 45 ++++++------------- 1 file changed, 14 insertions(+), 31 deletions(-) diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md index 3efa779d0ca..3936fd8fe2a 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md @@ -82,13 +82,13 @@ The complete input file is located at ## Model results ```{figure-md} fig:initCPO - + Initial randomized CPO at time zero. ``` ```{figure-md} fig:olivine_fabrics - + Olivine A-E type fabrics under simple shear with a shear strain of 1.5 at 3e5 seconds of model time under constant shear strain rate: @@ -102,35 +102,18 @@ When we look at the visualization output of this model (see also ## Extending the model -There are a number of parameters that influence the amount of melting, how -fast the melt moves, and ultimately the distribution of crustal and -lithospheric material. Some ideas for adapting the model setup: - -- Changing the spreading rate: This can be done by choosing a different - magnitude of the prescribed velocity at the top boundary, and influences - the size and shape of the triangular melting region. Faster spreading - allows hot material to move further away from the ridge axis, and hence - facilitates a melting region that extends further in horizontal direction. - -- Changing the temperature profile: This can be done by choosing a different - bottom boundary temperature and influences the amount of melting, and - hence the thickness of the crust. Higher temperatures lead to more melt - being generated. - -- Changing the speed of melt migration: The velocity of the melt with - respect to the solid velocity is determined by the permeability and the - melt viscosity (and the pressure gradients in the melt). Increasing the - permeability (by setting a different "Reference permeability" - in the melt simple model) can lead to higher melt velocities, melt - reaching the depth of freezing faster, and hence lower overall porosity - values at steady state. - -- Making the viscosity law more realistic: In this simple model, the - viscosity only depends on the amount of melt that is present and is - otherwise constant. This could be the reason why melt can not flow up all - the way up at the ridge axis, but freezes before it reaches the surface. - Introducing a temperature-dependent rheology could improve this behavior - (and in reality, plastic effects might also play a role). +This simple 1 $m^{3}$ cube simple shear model for tracking olivine fabric development using +the crystal preferred orientation implementation can be extended for various settings. +Some ideas for adapting the model setup: + +- Setup high pressure and temperature lab experiments for olivine CPO. + After benchmarking against the lab experiment results, it could then be + extended beyond parameter space limited by lab experiment. + +- Add CPO calculations in large scale geodynamic models like mantle plume, + lower crust delamination and mid-ocean ridges. + +- Include anisotropic viscosity to feed this CPO back to influence the stokes solution. ## References: - Fraters, M. R. T., & Billen, M. I. (2021). From 3d8a9712efd52493b101ca77134672deace17926 Mon Sep 17 00:00:00 2001 From: Xiaochuan Tian Date: Fri, 21 Jun 2024 16:06:27 -0400 Subject: [PATCH 10/10] correct typo, make indent in the build folder --- .../doc/cpo.part.prm | 17 +++-- ...orientation_olivine_fraters_billen_2021.md | 63 ++++++++++--------- .../doc/prescribe_stokes.part.prm | 3 +- .../olivineA.prm | 2 +- 4 files changed, 48 insertions(+), 37 deletions(-) diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo.part.prm b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo.part.prm index 9e3754ffe48..4ebeb984000 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo.part.prm +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/cpo.part.prm @@ -3,11 +3,13 @@ #The particles and crystal preferred orientation are required for CPO calculations subsection Postprocess set List of postprocessors = velocity statistics, visualization, particles, crystal preferred orientation + #specify data output for visualizing in paraview or visit subsection Visualization set Time between graphical output = 1e5 set List of output variables = stress, viscosity, strain rate end + #specify CPO data output subsection Crystal Preferred Orientation set Time between data output = 1e5 @@ -15,11 +17,13 @@ subsection Postprocess set Compress cpo data files = false # so results are human readable set Write out raw cpo data = mineral 0: volume fraction, mineral 0: Euler angles #, mineral 1: volume fraction, mineral 1: Euler angles #specify what to output, here will only output volume fraction and Euler angles for mineral 0 (olivine) set Write out draw volume weighted cpo data = mineral 0: volume fraction, mineral 0: Euler angles, mineral 1: volume fraction, mineral 1: Euler angles + #specify output parameters for draw volume weighted cpo, the pole figures are plotted with these data end + # Here is for data results read by paraview and visit # Exclude output properties so as to allow fast reading by paraview - # because if number of particles is large, paraview will crash + # because if number of particles is large, paraview will crash subsection Particles set Time between data output = 1e4 set Data output format = vtu @@ -30,12 +34,14 @@ end # subsection Particles was part of subsection Postprocess but from V3.0 it standalone subsection Particles set List of particle properties = integrated strain, crystal preferred orientation, cpo elastic tensor, cpo bingham average, integrated strain invariant, velocity, pT path #what particle properties are calculated + # When specifying locations for particles using subsection Generator below, below 3 lines are commented #set Load balancing strategy = add particles #set Minimum particles per cell = 128 #set Maximum particles per cell = 512 # use a ascii file particle_one.dat to specify initial locations of particles set Particle generator name = ascii file + # subsection Generator subsection Ascii file @@ -45,7 +51,8 @@ subsection Particles set Data file name = particle_one.dat end end - # parameters for DRex + + # parameters for DRex subsection Crystal Preferred Orientation # a random seed to 'randomize' initial Euler angles for the grains set Random number seed = 301 @@ -59,15 +66,17 @@ subsection Particles # The A,B,C,D,E types of olivine fabric can be set here by changing # A-fabric to B-fabric for example set Minerals = Olivine: A-fabric, Enstatite ## Annotation Minerals + # The two minerals are not interacting with each other. set Volume fractions minerals = 0.7,0.3 ## Annotation Volume fractions minerals end + # DRex parameters following Kaminski et al., 2004 subsection D-Rex 2004 set Mobility = 125 ## 125+-75 Annotation LPO Mobility set Stress exponents = 3.5 set Exponents p = 1.5 - set Nucleation efficiency = 5 ## Annotation Nucleation efficientcy + set Nucleation efficiency = 5 ## Annotation Nucleation efficiency set Threshold GBS = 0.3 ## Annotation TGBS end end @@ -75,4 +84,4 @@ subsection Particles subsection CPO Bingham Average set Random number seed = 200 end -end \ No newline at end of file +end diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md index 3936fd8fe2a..8bb203a3162 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/crystal_preferred_orientation_olivine_fraters_billen_2021.md @@ -1,22 +1,22 @@ -# Olivine Fabric Developments Under Simple Shear +# [WIP] Olivine Fabric Developments Under Simple Shear -*This section was contributed by Xiaochuan Tian, Yijun Wang and Menno Fraters. It is -based on a section in {cite:t}`fraters_billen_2021_cpo` +*This section was contributed by Xiaochuan Tian, with helps from Yijun Wang and Menno Fraters. It is +based on a section in {cite:t}`fraters_billen_2021_cpo` by Menno Fraters and Magali Billen published in 2021.* This cookbook explains how to set up a numerical experiment for fabric -developments of a single olivine particle under simple shear macroscopic strain. +developments of a single olivine particle under simple shear macroscopic strain. It uses ASPECT's -crystal preferred orientation (CPO) implementation, which is described in detail in -{cite:t}`fraters_billen_2021_cpo` and the paper is open accessed at +crystal preferred orientation (CPO) implementation, which is described in detail in +{cite:t}`fraters_billen_2021_cpo` and the paper is open accessed at [here](https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2021GC009846). -The fabric calculation is based on DRex (Kaminski et al., 2004) at +The fabric calculation is based on DRex (Kaminski et al., 2004) at [here](https://academic.oup.com/gji/article/158/2/744/2013756). -This notebook describe how to use ASPECT CPO implementation to calculate the major +This notebook describe how to use ASPECT CPO implementation to calculate the major olivine fabrics observed in the lab experiments. It focuses on reproducing Fig. 3 of {cite}`fraters_billen_2021_cpo`. -### Motivation +## Motivation The Earth's plates can move relative to each other because the underlying mantle can flow/(be deformed) to accommodate such motions. This flowing motion reflects dynamics inside the planet but cannot be observed directly @@ -29,22 +29,23 @@ to infer mantle's deformation. Olivine is a major mineral of the Earth's upper mantle where continuous deformation takes place. People care about olivine fabric developments under simple shear as it may provide a bridge that links seismic anisotropy observations to the -flows in the upper mantle that accommodate plate motions. Indeed, high temperature and +flows in the upper mantle that accommodate plate motions. Indeed, high temperature and pressure lab experiments using Griggs apparatus to investigate olivine fabrics developments under simple shear do find systematic types of fabrics based on the stress and water content conditions -(see Karato et al., 2008 for details). Here is a +(see Karato et al., 2008 for details). Here is a [link](https://doi.org/10.1146/annurev.earth.36.031207.124120) to the paper. ## Model setup Following {cite:t}`fraters_billen_2021_cpo`, we prescribe simple shear in a 3d Cartesian box/cube -with dimensions of $1 \times 1 \times 1 $ $[m^3]$. The shear strain rate +with dimensions of $1 \times 1 \times 1 $ $[m^3]$. The shear strain rate $\dot{\epsilon}_{xz} = -5\times 10^{-6} [s^{-1}]$. The olivine particle is placed right at the center of the cubic box so it stays stationary. The DRex implementation keep tracks of rotations of crystal grains within the particle under macroscopic deformation. ```{figure-md} fig:model_setup_3D_box + 3D shear box with velocity vectors. The grey ball is the central olivine particle. ``` @@ -53,24 +54,24 @@ The model shows how crystal grains rotate and align under simple shear with pole ## The input file :::{tip} -Update the input file with update_prm_files.sh inside -/aspect/contrib/utilities if the model doesn't run. -See Pull Request #5873 +Update the input file with update_prm_files.sh inside +/aspect/contrib/utilities if the model doesn't run. +See Pull Request #5873 [conversations](https://github.com/geodynamics/aspect/pull/5873#issuecomment-2167145176) for detail. ::: -Instead of solving Stokes equation with initial and boundary conditions, we instead prescribe -a constant simple shear strain rate field by setting Nonlinear solver scheme to +Instead of solving Stokes equation with initial and boundary conditions, we instead prescribe +a constant simple shear strain rate field by setting Nonlinear solver scheme to "single Advecgion, no Stokes" and -prescribing the Stokes solution with a function. In this case, what we only care is the +prescribing the Stokes solution with a function. In this case, what we only care is the prescribed strain rate that is exerted onto the olivine particle. Parameters useful for the Stokes -equation is not important in this case. +equation is not important in this case. ```{literalinclude} prescribe_stokes.part.prm ``` -The second part of the input file specify what to output and what minerals to keep track of -CPO development. It also specifies the parameters for the DRex algorithm. +The second part of the input file specify what to output and what minerals to keep track of +CPO development. It also specifies the parameters for the DRex algorithm. ```{literalinclude} cpo.part.prm ``` @@ -79,6 +80,7 @@ The complete input file is located at [/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm](https://www.github.com/geodynamics/aspect/blob/main/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm). ## Plotting pole figure +To plot pole figures from ## Model results ```{figure-md} fig:initCPO @@ -92,23 +94,24 @@ Initial randomized CPO at time zero. Olivine A-E type fabrics under simple shear with a shear strain of 1.5 at 3e5 seconds of model time under constant shear strain rate: - $\dot{\epsilon}_{xz} = -5\times 10^{-6} [s^{-1}]$ + $\dot{\epsilon}_{xz} = -5\times 10^{-6} [s^{-1}]$. +Note that the color scales range from 0 to 5 but actual results may be larger. ``` When we look at the visualization output of this model (see also -{numref}`fig:olivine_fabrics`), we can see +{numref}`fig:olivine_fabrics`), we can see ## Extending the model This simple 1 $m^{3}$ cube simple shear model for tracking olivine fabric development using -the crystal preferred orientation implementation can be extended for various settings. +the crystal preferred orientation implementation can be extended for various settings. Some ideas for adapting the model setup: -- Setup high pressure and temperature lab experiments for olivine CPO. - After benchmarking against the lab experiment results, it could then be - extended beyond parameter space limited by lab experiment. +- Setup high pressure and temperature lab experiments for olivine CPO. + After benchmarking against the lab experiment results, it could then be + extended beyond parameter space limited by lab experiment. - Add CPO calculations in large scale geodynamic models like mantle plume, lower crust delamination and mid-ocean ridges. @@ -116,11 +119,11 @@ Some ideas for adapting the model setup: - Include anisotropic viscosity to feed this CPO back to influence the stokes solution. ## References: -- Fraters, M. R. T., & Billen, M. I. (2021). +- Fraters, M. R. T., & Billen, M. I. (2021). On the implementation and usability of crystal preferred orientation evolution in geodynamic modeling. Geochemistry, Geophysics, Geosystems, 22(10), e2021GC009846. -- Kaminski, E., Ribe, N. M., & Browaeys, J. T. (2004). +- Kaminski, E., Ribe, N. M., & Browaeys, J. T. (2004). D-Rex, a program for calculation of seismic anisotropy due to crystal lattice preferred orientation in the convective upper mantle. Geophysical Journal International, 158(2), 744–752. -- Karato, S., Jung, H., Katayama, I., & Skemer, P. (2008). +- Karato, S., Jung, H., Katayama, I., & Skemer, P. (2008). Geodynamic significance of seismic anisotropy of the upper mantle: New insights from laboratory studies. Annu. Rev. Earth Planet. Sci., 36, 59–95. diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/prescribe_stokes.part.prm b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/prescribe_stokes.part.prm index 284dc4cd5d6..649975b3511 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/prescribe_stokes.part.prm +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/doc/prescribe_stokes.part.prm @@ -7,7 +7,7 @@ set Nonlinear solver scheme = single Advection, no Stokes set End time = 3e5 set Use years in output instead of seconds = false -# Set zero gravity +# Set zero gravity subsection Gravity model set Model name = vertical @@ -51,4 +51,3 @@ subsection Mesh refinement set Initial adaptive refinement = 0 set Time steps between mesh refinement = 10000 end - diff --git a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm index c24c70a38c5..d79c8699d86 100644 --- a/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm +++ b/cookbooks/crystal_preferred_orientation_olivine_fraters_billen_2021/olivineA.prm @@ -159,7 +159,7 @@ subsection Particles set Mobility = 125 ## 125+-75 Annotation LPO Mobility set Stress exponents = 3.5 set Exponents p = 1.5 - set Nucleation efficiency = 5 ## Annotation Nucleation efficientcy + set Nucleation efficiency = 5 ## Annotation Nucleation efficiency set Threshold GBS = 0.3 ## Annotation TGBS end end

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