Download data/scripts/example_transient_dispersion.py from introvoyz042/OpenPNM: direct link, hf CLI and curl.
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3.08 kB
| r""" | |
| Details about the continum and numerical model equations can be found on: | |
| Sadeghi, M. A., Agnaou, M., Barralet, J., & Gostick, J. (2020). | |
| Dispersion modeling in pore networks: A comparison of common pore-scale | |
| models and alternative approaches. Journal of Contaminant Hydrology, 228, 103578. | |
| """ | |
| import openpnm as op | |
| import numpy as np | |
| np.random.seed(0) | |
| ws = op.Workspace() | |
| proj = ws.new_project() | |
| # %% Problem setup | |
| # Create network | |
| net = op.network.Cubic(shape=[33, 33, 1], spacing=9e-4, project=proj) | |
| # Remove the pores at the corners of the network | |
| Ps = (net['pore.back'] * net['pore.right'] | |
| + net['pore.back'] * net['pore.left'] | |
| + net['pore.front'] * net['pore.right'] | |
| + net['pore.front'] * net['pore.left']) | |
| Ts = net['throat.surface'] | |
| op.topotools.trim(network=net, pores=net.Ps[Ps], throats=net.Ts[Ts]) | |
| # Create geometry | |
| geo = op.geometry.SpheresAndCylinders(network=net, pores=net.Ps, throats=net.Ts) | |
| # Define constant pore/throat diameters | |
| mod = op.models.misc.constant | |
| geo.add_model(propname='pore.diameter', model=mod, value=1.5e-4) | |
| geo.add_model(propname='throat.diameter', model=mod, value=1e-4) | |
| geo.regenerate_models() | |
| # Create phase | |
| water = op.phase.Water(network=net) | |
| # Create physics | |
| phys = op.physics.GenericPhysics(network=net, phase=water, geometry=geo) | |
| # Add model for calculating hydraulic conductance | |
| flow = op.models.physics.hydraulic_conductance.hagen_poiseuille | |
| phys.add_model(propname='throat.hydraulic_conductance', | |
| pore_viscosity='pore.viscosity', | |
| throat_viscosity='throat.viscosity', | |
| model=flow, regen_mode='normal') | |
| # Add model for calculating diffusive conductance | |
| dif = op.models.physics.diffusive_conductance.ordinary_diffusion | |
| phys.add_model(propname='throat.diffusive_conductance', model=dif, | |
| regen_mode='normal') | |
| # Add model for calculating dispersive conductance (advection-diffusion) | |
| ad_dif = op.models.physics.ad_dif_conductance.ad_dif | |
| phys.add_model(propname='throat.ad_dif_conductance', | |
| model=ad_dif, regen_mode='normal') | |
| # Add source term | |
| linear = op.models.physics.generic_source_term.linear | |
| phys['pore.A1'] = -1e-15 | |
| phys['pore.A2'] = 0.0 | |
| phys.add_model(propname='pore.rxn', model=linear, X='pore.concentration', | |
| A1='pore.A1', A2='pore.A2') | |
| rxn_pores = np.array([200]) | |
| net.set_label('rxn', pores=rxn_pores) | |
| # %% Algorithms | |
| # Stokes flow algorithm | |
| sf = op.algorithms.StokesFlow(network=net, phase=water) | |
| sf.set_value_BC(pores=net.pores('back'), values=0.01) | |
| sf.set_value_BC(pores=net.pores('front'), values=0.00) | |
| sf.run() | |
| water.update(sf.results()) | |
| # Transient advection diffusion | |
| ad = op.algorithms.TransientAdvectionDiffusion(network=net, phase=water) | |
| ad.set_source(propname='pore.rxn', pores=rxn_pores) | |
| ad.set_value_BC(pores=net.pores('back'), values=100) | |
| ad.set_value_BC(pores=net.pores('front'), values=90) | |
| ad.run(x0=90, tspan=(0, 1000), saveat=200) | |
| water.update(ad.results()) | |
| # %% Post processing | |
| # Output results for visualization on Paraview | |
| proj.export_data(phases=[water], filename='out', filetype='xdmf') | |