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Wide_Rift.py
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Wide_Rift.py
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# This script was run using Underworld 2.13 on 144 to 192 CPU's on the NCI Gadi supercomputer
#Written by Youseph Ibrahim
import matplotlib.pyplot as plt
import underworld as uw
from underworld import UWGeodynamics as GEO
import underworld.function as fn
from underworld.UWGeodynamics.surfaceProcesses import SedimentationThreshold
import numpy as np
import scipy
import os.path
from mpi4py import MPI
import argparse
import math
u = GEO.UnitRegistry
#Model solver parameters
GEO.rcParams["initial.nonlinear.tolerance"] = 1e-3
GEO.rcParams["nonlinear.tolerance"] = 5e-4
GEO.rcParams["nonlinear.min.iterations"] = 1
GEO.rcParams["nonlinear.max.iterations"] = 100
GEO.rcParams["CFL"] = 0.1
GEO.rcParams["advection.diffusion.method"] = "SLCN"
GEO.rcParams["shear.heating"] = True
GEO.rcParams["surface.pressure.normalization"] = True # Make sure the top of the model is approximately 0 Pa
GEO.rcParams["popcontrol.split.threshold"] = 0.95
GEO.rcParams["popcontrol.max.splits"] = 100
#Model Scaling
resolution = (960,320) #750 m resolution
half_rate = 18 * u.millimeter / u.year
model_length = 720e3 * u.meter
model_height = 240e3 * u.meter
surfaceTemp = 293.15 * u.degK
baseModelTemp = 1603.15 * u.degK
bodyforce = 3150 * u.kilogram / u.metre**3 * 9.81 * u.meter / u.second**2
KL = model_length
Kt = KL / half_rate
KM = bodyforce * KL**2 * Kt**2
KT = (baseModelTemp - surfaceTemp)
GEO.scaling_coefficients["[length]"] = KL
GEO.scaling_coefficients["[time]"] = Kt
GEO.scaling_coefficients["[mass]"]= KM
GEO.scaling_coefficients["[temperature]"] = KT
#Defining the Model bounds
Model = GEO.Model(elementRes=resolution,
minCoord=(0. * u.kilometer, -210. * u.kilometer),
maxCoord=(720. * u.kilometer, 30. * u.kilometer),
gravity=(0.0, -9.81 * u.meter / u.second**2))
#Output directory
Model.outputDir="Inversion_Wide_Rift"
Model.diffusivity = 9e-7 * u.metre**2 / u.second
Model.capacity = 1000. * u.joule / (u.kelvin * u.kilogram)
#Defining materials
#sticky air
air = Model.add_material(name="Air", shape=GEO.shapes.Layer(top=Model.top, bottom=0 * u.kilometer))
air.density = 1. * u.kilogram / u.metre**3
air.diffusivity = 1e-5 * u.metre**2 / u.second
air.capacity = 100. * u.joule / (u.kelvin * u.kilogram)
air.compressibility = 1.e4
#sediments
sediment = Model.add_material(name="Sediment") # This is the sediment that gets deposited below sea level
sediment.density = GEO.LinearDensity(reference_density=2300. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
sediment.radiogenicHeatProd = 1.15e-6 * u.microwatt / u.meter**3
Sediment1 = Model.add_material(name="Sediment Layer 1", shape=GEO.shapes.Layer(top=0. * u.kilometer, bottom=-1. * u.kilometer))
Sediment1.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
Sediment1.density = GEO.LinearDensity(reference_density = 2600. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
Sediment2 = Model.add_material(name="Sediment Layer 2", shape=GEO.shapes.Layer(top=-1. * u.kilometer, bottom=-2. * u.kilometer))
Sediment2.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
Sediment2.density = GEO.LinearDensity(reference_density = 2600. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
Sediment3 = Model.add_material(name="Sediment Layer 3", shape=GEO.shapes.Layer(top=-2. * u.kilometer, bottom=-3. * u.kilometer))
Sediment3.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
Sediment3.density = GEO.LinearDensity(reference_density = 2600. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
Sediment4 = Model.add_material(name="Sediment Layer 4", shape=GEO.shapes.Layer(top=-3. * u.kilometer, bottom=-4. * u.kilometer))
Sediment4.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
Sediment4.density = GEO.LinearDensity(reference_density = 2600. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
Sediment5 = Model.add_material(name="Sediment Layer 5", shape=GEO.shapes.Layer(top=-4. * u.kilometer, bottom=-5. * u.kilometer))
Sediment5.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
Sediment5.density = GEO.LinearDensity(reference_density = 2600. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
Sediment6 = Model.add_material(name="Sediment Layer 6", shape=GEO.shapes.Layer(top=-5. * u.kilometer, bottom=-6. * u.kilometer))
Sediment6.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
Sediment6.density = GEO.LinearDensity(reference_density = 2600. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
#Continental Crust
continentalcrustL3 = Model.add_material(name="Continental Crust Layer3", shape=GEO.shapes.Layer(top=-6. * u.kilometer, bottom=-9. * u.kilometer))
continentalcrustL3.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
continentalcrustL3.density = GEO.LinearDensity(reference_density = 2675. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
continentalcrustL4 = Model.add_material(name="Continental Crust Layer4", shape=GEO.shapes.Layer(top=-9. * u.kilometer, bottom=-12. * u.kilometer))
continentalcrustL4.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
continentalcrustL4.density = GEO.LinearDensity(reference_density = 2675. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
continentalcrustL5 = Model.add_material(name="Continental Crust Layer5", shape=GEO.shapes.Layer(top=-12. * u.kilometer, bottom=-15. * u.kilometer))
continentalcrustL5.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
continentalcrustL5.density = GEO.LinearDensity(reference_density = 2700. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
continentalcrustL6 = Model.add_material(name="Continental Crust Layer6", shape=GEO.shapes.Layer(top=-15. * u.kilometer, bottom=-18. * u.kilometer))
continentalcrustL6.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
continentalcrustL6.density = GEO.LinearDensity(reference_density = 2725. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
continentalcrustL7 = Model.add_material(name="Continental Crust Layer7", shape=GEO.shapes.Layer(top=-18. * u.kilometer, bottom=-21. * u.kilometer))
continentalcrustL7.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
continentalcrustL7.density = GEO.LinearDensity(reference_density = 2750. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
continentalcrustL8 = Model.add_material(name="Continental Crust Layer8", shape=GEO.shapes.Layer(top=-21. * u.kilometer, bottom=-24. * u.kilometer))
continentalcrustL8.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
continentalcrustL8.density = GEO.LinearDensity(reference_density = 2775. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
continentalcrustL9 = Model.add_material(name="Continental Crust Layer9", shape=GEO.shapes.Layer(top=-24. * u.kilometer, bottom=-27. * u.kilometer))
continentalcrustL9.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
continentalcrustL9.density = GEO.LinearDensity(reference_density = 2800. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
continentalcrustL10 = Model.add_material(name="Continental Crust Layer10", shape=GEO.shapes.Layer(top=-27. * u.kilometer, bottom=-36. * u.kilometer))
continentalcrustL10.radiogenicHeatProd = 1.15e-6 * u.watt / u.meter**3
continentalcrustL10.density = GEO.LinearDensity(reference_density = 2825. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
#Mantle
uppermantle = Model.add_material(name="Upper Mantle", shape=GEO.shapes.Layer(top=-36. * u.kilometer, bottom=-76. * u.kilometer))
uppermantle.density = GEO.LinearDensity(reference_density=3370. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
uppermantle.temperatureLimiter = 1603. * u.kelvin
asthenosphere = Model.add_material(name="Asthenosphere", shape=GEO.shapes.Layer(top=-76. * u.kilometer, bottom=Model.bottom))
asthenosphere.density = GEO.LinearDensity(reference_density=3370. * u.kilogram / u.metre**3,
thermalExpansivity= 2.8e-5 * u.kelvin**-1)
asthenosphere.temperatureLimiter = 1603. * u.kelvin
#Defining material viscosities
rh = GEO.ViscousCreepRegistry()
Model.minViscosity = 1e18 * u.pascal * u.second
Model.maxViscosity = 5e23 * u.pascal * u.second
air.viscosity = 5e18 * u.pascal * u.second
Sediment1.viscosity = 5e19 * u.pascal *u.second
Sediment2.viscosity = 0.01 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
Sediment3.viscosity = 0.01 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
Sediment4.viscosity = 0.01 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
Sediment5.viscosity = 0.01 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
Sediment6.viscosity = 0.01 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
continentalcrustL3.viscosity = 0.75 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
continentalcrustL4.viscosity = 0.25 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
continentalcrustL5.viscosity = 1 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
continentalcrustL6.viscosity = 1 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
continentalcrustL7.viscosity = 2 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
continentalcrustL8.viscosity = 2 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
continentalcrustL9.viscosity = 3 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
continentalcrustL10.viscosity = 3 * rh.Wet_Quartz_Dislocation_Paterson_and_Luan_1990
uppermantle.viscosity = rh.Dry_Olivine_Dislocation_Karato_and_Wu_1993
asthenosphere.viscosity = rh.Dry_Olivine_Dislocation_Karato_and_Wu_1993
sediment.viscosity = rh.Wet_Quartz_Dislocation_Gleason_and_Tullis_1995
#Defining material plasticity
Sediment1.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=0. * u.megapascal,
cohesionAfterSoftening=0. * u.megapascal,
frictionCoefficient=0.1,
frictionAfterSoftening=0.01,
epsilon1=0.0, epsilon2=0.15)
Sediment1.stressLimiter = 100 * u.megapascal
Sediment2.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=5. * u.megapascal,
cohesionAfterSoftening=1. * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.15)
Sediment2.stressLimiter = 100 * u.megapascal
Sediment3.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=5. * u.megapascal,
cohesionAfterSoftening=1. * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.15)
Sediment3.stressLimiter = 100 * u.megapascal
Sediment4.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=5. * u.megapascal,
cohesionAfterSoftening=1. * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.15)
Sediment4.stressLimiter = 100 * u.megapascal
Sediment5.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=5. * u.megapascal,
cohesionAfterSoftening=1. * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.15)
Sediment5.stressLimiter = 100 * u.megapascal
Sediment6.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=5. * u.megapascal,
cohesionAfterSoftening=1. * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.15)
Sediment6.stressLimiter = 100 * u.megapascal
continentalcrustL3.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=5. * u.megapascal,
cohesionAfterSoftening=1. * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.15)
continentalcrustL3.stressLimiter = 125 * u.megapascal
continentalcrustL4.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.25)
continentalcrustL4.stressLimiter = 150 * u.megapascal
continentalcrustL5.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.25)
continentalcrustL5.stressLimiter = 150 * u.megapascal
continentalcrustL6.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.25)
continentalcrustL6.stressLimiter = 150 * u.megapascal
continentalcrustL7.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.25)
continentalcrustL7.stressLimiter = 150 * u.megapascal
continentalcrustL8.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.25)
continentalcrustL8.stressLimiter = 150 * u.megapascal
continentalcrustL9.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.25)
continentalcrustL9.stressLimiter = 150 * u.megapascal
continentalcrustL10.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.54,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.25)
continentalcrustL10.stressLimiter = 150 * u.megapascal
uppermantle.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.44,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.15)
uppermantle.stressLimiter = 250 * u.megapascal
asthenosphere.plasticity = GEO.DruckerPrager(name="Continental Crust",
cohesion=15. * u.megapascal,
cohesionAfterSoftening=1.5 * u.megapascal,
frictionCoefficient=0.44,
frictionAfterSoftening=0.011,
epsilon1=0.0, epsilon2=0.15)
asthenosphere.stressLimiter = 250 * u.megapascal
sediment.plasticity = GEO.DruckerPrager(cohesion=1.0 * u.megapascal,
cohesionAfterSoftening=0.1 * u.megapascal,
frictionCoefficient=0.4,
frictionAfterSoftening=0.01,
epsilon1=0.05,
epsilon2=0.15)
sediment.stressLimiter = 100 * u.megapascal
#Defining solidus and liquidus curves
solidii = GEO.SolidusRegistry()
my_crust_solidus = GEO.Solidus(A1=923 * u.kelvin, A2=-1.2e-07 * u.kelvin / u.pascal, A3=1.2e-16 * u.kelvin / u.pascal**2, A4=0.0 * u.kelvin / u.pascal**3)
mid_crust_solidus = GEO.Solidus(A1=1263 * u.kelvin, A2=-1.2e-07 * u.kelvin / u.pascal, A3=1.2e-16 * u.kelvin / u.pascal**2, A4=0.0 * u.kelvin / u.pascal**3)
mantle_solidus = solidii.Mantle_Solidus
liquidii = GEO.LiquidusRegistry()
my_crust_liquidus = GEO.Liquidus(A1=1423 * u.kelvin, A2=-1.2e-07 * u.kelvin / u.pascal, A3=1.6e-16 * u.kelvin / u.pascal**2, A4=0.0 * u.kelvin / u.pascal**3)
mid_crust_liquidus = GEO.Liquidus(A1=1763 * u.kelvin, A2=-1.2e-07 * u.kelvin / u.pascal, A3=1.6e-16 * u.kelvin / u.pascal**2, A4=0.0 * u.kelvin / u.pascal**3)
mantle_liquidus = liquidii.Mantle_Liquidus
#Defining melt modifiers
continentalcrustL3.add_melt_modifier(my_crust_solidus, my_crust_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.3,
meltExpansion=0.13,
viscosityChangeX1 = 0.15,
viscosityChangeX2 = 0.30,
viscosityChange = 1e-3
)
continentalcrustL4.add_melt_modifier(my_crust_solidus, my_crust_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.3,
meltExpansion=0.13,
viscosityChangeX1 = 0.15,
viscosityChangeX2 = 0.30,
viscosityChange = 1e-3
)
continentalcrustL5.add_melt_modifier(my_crust_solidus, my_crust_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.3,
meltExpansion=0.13,
viscosityChangeX1 = 0.15,
viscosityChangeX2 = 0.30,
viscosityChange = 1e-3
)
continentalcrustL6.add_melt_modifier(my_crust_solidus, my_crust_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.3,
meltExpansion=0.13,
viscosityChangeX1 = 0.15,
viscosityChangeX2 = 0.30,
viscosityChange = 1e-3
)
continentalcrustL7.add_melt_modifier(my_crust_solidus, my_crust_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.3,
meltExpansion=0.13,
viscosityChangeX1 = 0.15,
viscosityChangeX2 = 0.30,
viscosityChange = 1e-3
)
continentalcrustL8.add_melt_modifier(my_crust_solidus, my_crust_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.3,
meltExpansion=0.13,
viscosityChangeX1 = 0.15,
viscosityChangeX2 = 0.30,
viscosityChange = 1e-3
)
continentalcrustL9.add_melt_modifier(my_crust_solidus, my_crust_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.3,
meltExpansion=0.13,
viscosityChangeX1 = 0.15,
viscosityChangeX2 = 0.30,
viscosityChange = 1e-3
)
continentalcrustL10.add_melt_modifier(my_crust_solidus, my_crust_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.3,
meltExpansion=0.13,
viscosityChangeX1 = 0.15,
viscosityChangeX2 = 0.30,
viscosityChange = 1e-3
)
uppermantle.add_melt_modifier(mantle_solidus, mantle_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.03,
meltExpansion=0.13,
viscosityChangeX1 = 0.001,
viscosityChangeX2 = 0.03,
viscosityChange = 1e-2
)
asthenosphere.add_melt_modifier(mantle_solidus, mantle_liquidus,
latentHeatFusion=250.0 * u.kilojoules / u.kilogram / u.kelvin,
meltFraction=0.,
meltFractionLimit=0.03,
meltExpansion=0.13,
viscosityChangeX1 = 0.001,
viscosityChangeX2 = 0.03,
viscosityChange = 1e-2
)
#Defining temperature conditions
Model.set_temperatureBCs(top=293.15 * u.degK,
bottom=1603.15 * u.degK,
nodeSets = [(air.shape, 293.15 * u.degK)])
#Defining velocity boundary conditions. -velocity is contraction, +velocity is extension
import underworld.function as fn
velocity = -1.1355 * u.centimeter / u.year
Model.set_velocityBCs(left=[-velocity, 0.0 * u.centimeter / u.year],
right=[velocity, 0.0 * u.centimeter / u.year],
top=[None, 0. * u.centimeter / u.year])
#Airy-like traction basal boundary condition
Model.set_stressBCs(bottom=[0., 6.48174e9 * u.pascal])
#Gaussian damage function
def gaussian(xx, centre, width):
return ( np.exp( -(xx - centre)**2/width))
maxDamage = 0.25
centre = (GEO.nd(360. * u.kilometer), GEO.nd(-40. * u.kilometer))
width = GEO.nd(75. * u.kilometer) # this gives a normal distribution
Model.plasticStrain.data[:] = maxDamage * np.random.rand(*Model.plasticStrain.data.shape[:])
Model.plasticStrain.data[:,0] *= gaussian(Model.swarm.particleCoordinates.data[:,0], centre[0], width)
Model.plasticStrain.data[:,0] *= gaussian(Model.swarm.particleCoordinates.data[:,1], centre[1], width*100)
air_mask = Model.swarm.particleCoordinates.data[:,1] > GEO.nd(0 * u.kilometer)
Model.plasticStrain.data[air_mask] = 0.0
#Sediment deposition below 0 m elevation
Model.surfaceProcesses = GEO.surfaceProcesses.SedimentationThreshold(air=[air], sediment=[sediment], threshold=0. * u.metre)
#Tracers for visualisation, not required for running model
npoints = int(Model.length.magnitude)
coords = np.ndarray((npoints, 2))
coords[:, 0] = np.linspace(GEO.nd(Model.minCoord[0]), GEO.nd(Model.maxCoord[0]), npoints)
coords[:, 1] = GEO.nd(Sediment1.top)
npoints_moho = 1000
coords_moho = np.ndarray((npoints_moho, 2))
coords_moho[:, 0] = np.linspace(GEO.nd(Model.minCoord[0]), GEO.nd(Model.maxCoord[0]), npoints_moho)
coords_moho[:, 1] = GEO.nd(0. * u.kilometre) - GEO.nd(continentalcrustL10.bottom)
moho_tracers = Model.add_passive_tracers(name="Moho", vertices=coords_moho)
coords_FSE_Crust = GEO.circles_grid(radius = 1.5 * u.kilometer,
minCoord=[Model.minCoord[0], continentalcrustL10.bottom],
maxCoord=[Model.maxCoord[0], 0.*u.kilometer])
FSE_Crust = Model.add_passive_tracers(name="FSE_Crust", vertices=coords_FSE_Crust)
coords_FSE_Mantle = GEO.circles_grid(radius=1.5 * u.kilometer,
minCoord=[Model.minCoord[0], -76.*u.kilometer],
maxCoord=[Model.maxCoord[0], continentalcrustL10.bottom])
FSE_Mantle = Model.add_passive_tracers(name="FSE_Mantle", vertices=coords_FSE_Mantle)
#Initialise the model
Model.swarm.allow_parallel_nn = True
Model.init_model()
#Solver options
solver = Model.solver
# Decide whether to use mumps or multigrid
if resolution[0] * resolution[1] < 1e6:
print("Using mumps")
solver.set_inner_method("mumps")
else:
print("Using multigrid with coarse mumps")
solver.options.A11.mg_coarse_pc_factor_mat_solver_package = "mumps"
solver.options.A11.mg_coarse_pc_type = "lu"
solver.options.A11.mg_coarse_ksp_type = "preonly"
solver.options.A11.ksp_rtol=1e-8
solver.options.A11.ksp_set_min_it_converge = 10
solver.options.A11.use_previous_guess = True
solver.options.scr.ksp_rtol=1e-6
solver.options.scr.use_previous_guess = True
solver.options.scr.ksp_set_min_it_converge = 10
solver.options.scr.ksp_type = "cg"
solver.options.main.remove_constant_pressure_null_space=True
solver.set_penalty(1e5)
def post_hook():
coords = fn.input()
zz = (coords[0] - GEO.nd(Model.minCoord[0])) / (GEO.nd(Model.maxCoord[0]) - GEO.nd(Model.minCoord[0]))
fact = fn.math.pow(fn.math.tanh(zz*20.0) + fn.math.tanh((1.0-zz)*20.0) - fn.math.tanh(20.0), 4)
Model.plasticStrain.data[:] = Model.plasticStrain.data[:] * fact.evaluate(Model.swarm)
Model.run_for(2000000 * u.years, checkpoint_interval=100000. * u.year, restartStep=-1, restartDir="Inversion_Wide_Rift")