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README.md

The numerical model¶

Overview

MDOODZ7.0 code is an open source geodyamics code, based on the finite-difference/marker-and-cell technique, available at https://github.com/tduretz/MDOODZ7.0/.

The version used to run this model has Git commit hash `08544b3433':

This setup was dedigned to replicate the "forced subduction" model from https://doi.org/10.1093/gji/ggaa092.

The model is based on the input file (or SET) called AnneloreSubduction, see https://github.com/tduretz/MDOODZ7.0/blob/main/SETS/AnneloreSubduction.txt

Modification to the input files

Minor modification were made to correct errors in the input file.

Model output files

Numerical models of Stokes Flow, such as the one analyised in this notebook, provide solutions to the stress equilibrium equations. We therefore have direct access to stress comoponents needed to estimate terms in the vertically integrated form of the horizontal force balance, (as described in the manuscript and notebook).

A series of h5 output files are found in the ../model_code_inputs directory These represent (roughly) 0.5 Myr intervals, from 0 - 10 Myr.

Due to Github space limitaio, the h5 files been filtered so they contain only the datasets required for the analysis.

The anlysis notebook shows how to convert the h5 data to a pyvista mesh, which can be viewed using the plotting capability in pyvista, or saved to a Paraview compatible format,

Modification to the input files

Parameter table

Symbol Description Material 1: Mantle Material 2: Lithosphere Material 3: Weak Layer
ID Phase identity 0 (Mantle) 1 (Lithosphere) 2 (Weak Layer)
$\rho$ Density (kg/m³) 3250.00 3250.00 3250.00
$G$ Shear modulus (Pa) 3e10 3e10 3e10
$C_v$ Heat capacity (J/kg·K) 1050 1050 1050
$k$ Thermal conductivity (W/m·K) 3.0 3.0 3.0
$Q_r$ Radiogenic heat production (W/m³) 1e-10 1e-10 1e-10
$C$ Cohesion (Pa) 1e6 1e7 1e6
$\phi$ Friction angle (°) 5 30 0
$S_\mathrm{lim}$ Stress cutoff (Pa) 500e9 500e9 500e9
$\alpha$ Coefficient of thermal expansion (1/K) 8e-6 8e-6 8e-6
$\beta$ Coefficient of compressibility (1/Pa) 1e-11 1e-11 1e-11
$d\rho$ Density variation (kg/m³) 0 0 0
cstv Constant viscosity switch 0 0 0
pwlv Dislocation creep parameter 40 40 40
linv Diffusion creep parameter 40 40 40
gbsv Grain boundary sliding parameter 0 0 0
expv Peierls creep parameter 40 40 40
gsel Grain size evolution switch 0 0 0
$\eta_0$ Constant viscosity (Pa·s) 1e22 1e22 1e22
gs_ref Reference grain size (m) 5e-3 5e-3 5e-3