commit c8aaf9f9454be4cea38bddc085d52ca87f226113 parent a01a6668b57491f2fd1bf7156bcf93607dec5add Author: Anders Damsgaard <anders@adamsgaard.dk> Date: Tue, 16 Jun 2020 15:44:36 +0200 Include pore-skeleton compressibility Diffstat:
| M | 1d_fd_simple_shear.1 | | | 3 | +++ |
| M | 1d_fd_simple_shear.c | | | 4 | ++++ |
| M | fluid.c | | | 9 | ++++++--- |
| M | max_depth_simple_shear.1 | | | 3 | +++ |
| M | max_depth_simple_shear.c | | | 6 | +++++- |
| M | simulation.c | | | 7 | +++++++ |
| M | simulation.h | | | 1 | + |
| M | test/max_depth_misc.std | | | 30 | +++++++++++++++--------------- |
| M | test/shear_flux_wet.std | | | 2 | +- |
| M | test/simple_shear_wet.std | | | 32 | ++++++++++++++++---------------- |
| M | test/simple_shear_wet_norm.std | | | 32 | ++++++++++++++++---------------- |
| M | test/simple_shear_wet_vari.std | | | 400 | ++++++++++++++++++++++++++++++++++++++++---------------------------------------- |
| M | test/simple_shear_wet_vari_pulse.std | | | 400 | ++++++++++++++++++++++++++++++++++++++++---------------------------------------- |
| M | test/simple_shear_wet_vari_pulse_vlim.std | | | 400 | ++++++++++++++++++++++++++++++++++++++++---------------------------------------- |
14 files changed, 677 insertions(+), 652 deletions(-)
diff --git a/1d_fd_simple_shear.1 b/1d_fd_simple_shear.1 @@ -32,6 +32,7 @@ .Op Fl n Ar normal-stress .Op Fl O Ar fluid-pressure-top .Op Fl o Ar origo +.Op Fl P Ar grain-compressibility .Op Fl p Ar grain-porosity .Op Fl q Ar fluid-pressure-freq .Op Fl R Ar fluid-density @@ -128,6 +129,8 @@ Only relevant with fluid dynamics enabled .Fl ( F ) . .It Fl o Ar origo Simulation domain origo [m] (default 0). +.It Fl p Ar grain-compressibility +Granular material compressibility [Pa^-1] (default 1e-7). .It Fl p Ar grain-porosity Granular material porosity [-] (default 0.25). .It Fl q Ar fluid-pressure-freq diff --git a/1d_fd_simple_shear.c b/1d_fd_simple_shear.c @@ -45,6 +45,7 @@ usage(void) "[-n normal-stress] " "[-O fluid-pressure-top] " "[-o origo] " + "[-P grain-compressibility] " "[-p grain-porosity] " "[-q fluid-pressure-freq] " "[-R fluid-density] " @@ -158,6 +159,9 @@ main(int argc, char *argv[]) case 'o': sim.origo_z = atof(EARGF(usage())); break; + case 'P': + sim.beta_s = atof(EARGF(usage())); + break; case 'p': new_phi = atof(EARGF(usage())); break; diff --git a/fluid.c b/fluid.c @@ -43,7 +43,7 @@ set_largest_fluid_timestep(struct simulation *sim, const double safety) diff_max = -INFINITY; for (i = 0; i < sim->nz; ++i) { - diff = sim->k[i] / (sim->phi[i] * sim->beta_f * sim->mu_f); + diff = sim->k[i] / ((sim->beta_s + sim->phi[i] * sim->beta_f) * sim->mu_f); if (diff > diff_max) diff_max = diff; } @@ -112,6 +112,7 @@ darcy_pressure_change_1d(const int i, const double *k, const double dz, const double beta_f, + const double beta_s, const double mu_f) { double k_ = k[i], div_k_grad_p, k_zn, k_zp; @@ -145,8 +146,8 @@ darcy_pressure_change_1d(const int i, #endif /* TODO: add advective term */ - return 1.0 / (beta_f * phi[i] * mu_f) * div_k_grad_p - - 1.0 / (beta_f * (1.0 - phi[i])) * phi_dot[i]; + return 1.0 / ((beta_s + beta_f * phi[i]) * mu_f) * div_k_grad_p + - 1.0 / ((beta_s + beta_f * phi[i]) * (1.0 - phi[i])) * phi_dot[i]; } int @@ -205,6 +206,7 @@ darcy_solver_1d(struct simulation *sim, sim->k, sim->dz, sim->beta_f, + sim->beta_s, sim->mu_f); } if (epsilon > 0.0) { @@ -233,6 +235,7 @@ darcy_solver_1d(struct simulation *sim, sim->k, sim->dz, sim->beta_f, + sim->beta_s, sim->mu_f); for (i = 0; i < sim->nz - 1; ++i) { diff --git a/max_depth_simple_shear.1 b/max_depth_simple_shear.1 @@ -13,6 +13,7 @@ .Op Fl i Ar fluid-viscosity .Op Fl k Ar fluid-permeability .Op Fl O Ar fluid-pressure-top +.Op Fl P Ar grain-compressibility .Op Fl p Ar grain-porosity .Op Fl q Ar fluid-pressure-freq .Op Fl R Ar fluid-density @@ -45,6 +46,8 @@ Darcian intrinsic permeability of granular material [m^2] (default 1.9e-15). .It Fl O Ar fluid-pressure-top Fluid pressure applied at the top boundary [Pa] (default 0). +.It Fl P Ar grain-compressibility +Granular material compressibility [Pa^-1] (default 1e-7). .It Fl p Ar grain-porosity Granular material porosity [-] (default 0.25). .It Fl q Ar fluid-pressure-freq diff --git a/max_depth_simple_shear.c b/max_depth_simple_shear.c @@ -34,6 +34,7 @@ usage(void) "[-i fluid-viscosity] " "[-k fluid-permeability] " "[-O fluid-pressure-top] " + "[-P grain-compressibility] " "[-p grain-porosity] " "[-q fluid-pressure-freq] " "[-R fluid-density] " @@ -47,7 +48,7 @@ static double skin_depth(const struct simulation *sim) { return sqrt(sim->k[0] / - (sim->phi[0] * sim->mu_f * sim->beta_f * M_PI * sim->p_f_mod_freq)); + (sim->mu_f * (sim->beta_s + sim->phi[0] * sim->beta_f) * M_PI * sim->p_f_mod_freq)); } /* using alternate form: sin(x) + cos(x) = sqrt(2)*sin(x + pi/4) */ @@ -200,6 +201,9 @@ main(int argc, char *argv[]) case 'O': sim.p_f_top = atof(EARGF(usage())); break; + case 'P': + sim.beta_s = atof(EARGF(usage())); + break; case 'p': new_phi = atof(EARGF(usage())); break; diff --git a/simulation.c b/simulation.c @@ -105,6 +105,8 @@ init_sim(struct simulation *sim) sim->beta_f = 3.9e-10; /* doi:10.1063/1.1679903 */ sim->mu_f = 1.787e-3; /* Cuffey and Paterson 2010 */ + sim->beta_s = 1e-7; + /* Damsgaard et al 2015 */ sim->k = initval(1.9e-15, 1); @@ -348,6 +350,11 @@ check_simulation_parameters(struct simulation *sim) warn_parameter_value("sim->beta_f is not positive", sim->beta_f, &return_status); + check_float("sim->beta_s", sim->beta_s, &return_status); + if (sim->beta_s <= 0.0) + warn_parameter_value("sim->beta_s is not positive", + sim->beta_s, &return_status); + check_float("sim->mu_f", sim->mu_f, &return_status); if (sim->mu_f <= 0.0) warn_parameter_value("sim->mu_f is not positive", diff --git a/simulation.h b/simulation.h @@ -95,6 +95,7 @@ struct simulation { double p_f_mod_pulse_time; /* single pressure pulse at this time [s] */ int p_f_mod_pulse_shape; /* waveform for fluid-pressure pulse */ double beta_f; /* adiabatic fluid compressibility [Pa^-1] */ + double beta_s; /* adiabatic grain compressibility [Pa^-1] */ double mu_f; /* fluid dynamic viscosity [Pa*s] */ double rho_f; /* fluid density [kg/m^3] */ diff --git a/test/max_depth_misc.std b/test/max_depth_misc.std @@ -1,15 +1,15 @@ -0 0.58916546237854128 -0 1.8631047798224352 -0 5.8916546237854135 -0 0.58916546237854128 -0 1.8631047798224352 -0 5.8916546237854135 -0.17929844608589693 0.58916546237854128 -0 1.8631047798224352 -0 5.8916546237854135 -0.95889943274648293 0.58916546237854128 -1.6369183501475948 1.8631047798224352 -0 5.8916546237854135 -1.1208892023850658 0.58916546237854128 -2.5797367496819348 1.8631047798224352 -1.7929844608589667 5.8916546237854135 +0.025603589951330889 0.018387723834941968 +0.019240637980042344 0.05814708830458263 +0 0.18387723834941971 +0.037468042571975495 0.018387723834941968 +0.094996910279423322 0.05814708830458263 +0.16375251568199781 0.18387723834941971 +0.040002293072828127 0.018387723834941968 +0.11087466554833089 0.05814708830458263 +0.25603589951330891 0.18387723834941971 +0.04256505015803564 0.018387723834941968 +0.12997238084702883 0.05814708830458263 +0.37468042571975502 0.18387723834941971 +0.04293736092907726 0.018387723834941968 +0.13328922300495358 0.05814708830458263 +0.40002293077908135 0.18387723834941971 diff --git a/test/shear_flux_wet.std b/test/shear_flux_wet.std @@ -1 +1 @@ -0.00023025805773005877 +0.0002277446772108036 diff --git a/test/simple_shear_wet.std b/test/simple_shear_wet.std @@ -1,16 +1,16 @@ -0.029999999999999999 0 50172.965022059449 1496.0299779405443 0.35875893555474991 3.0001241280891926e-05 0.25 2.7318132404177852e-07 17999.999524939747 -0.072666666666666657 3.0149436643090033e-06 49461.407068445289 1391.3959315547136 0.36392007645532853 7.0662742132242279e-05 0.25 6.4804314120744576e-07 17999.999041936735 -0.11533333333333333 8.687892366781248e-06 48749.837463439944 1286.7735365600599 0.36923195348141308 0.00013295973521419328 0.25 1.2282314701914466e-06 17999.997718527306 -0.158 1.8522138928792532e-05 48038.240929505278 1182.17807049472 0.37470137017537186 0.00023049015379713946 0.25 2.1448923241272393e-06 17999.994697100257 -0.20066666666666666 3.4724594894903089e-05 47326.583577572201 1077.6434224277948 0.38033568067406665 0.00037974506170571613 0.25 3.5602969554051986e-06 17999.988378954025 -0.24333333333333332 6.0261278056301099e-05 46614.796674084508 973.23832591549626 0.38614297343796355 0.00059851601159526609 0.25 5.654061673747399e-06 17999.976193937087 -0.28600000000000003 9.8720047490027458e-05 45902.751746832619 869.0912531673813 0.39213236619914815 0.00090137740860296188 0.25 8.5809223861199551e-06 17999.954657537557 -0.32866666666666666 0.00015381316881032269 45190.228881499017 765.4221185009784 0.39831442751186003 0.0012912450309444201 0.25 1.2388908861223808e-05 17999.920146064203 -0.37133333333333329 0.00022834896572054158 44476.887126959686 662.57187304031459 0.40470167670298163 0.0017469327400832558 0.25 1.6894901244201624e-05 17999.870794809845 -0.41400000000000003 0.00032330357424103774 43762.255649506194 561.01135049380457 0.41130899609397359 0.0022254986371991292 0.25 2.1698222014868683e-05 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3.2951918684286295e-05 18000 +0.029999999999999999 0 50172.969999999994 1496.0249999999999 0.35875890942872235 2.9698609947039415e-05 0.25 2.7042565036222704e-07 18000 +0.072666666666666657 2.984527677844194e-06 49461.417999999998 1391.385 0.36392001539462543 6.9949867449473313e-05 0.25 6.4150534570080217e-07 18000.000000000004 +0.11533333333333333 8.6001874146634383e-06 48749.866000000002 1286.7450000000001 0.36923178414480151 0.00013161702508170109 0.25 1.2158276687585418e-06 18000 +0.158 1.8335068918286117e-05 48038.313999999998 1182.105 0.37470091061064303 0.00022816128524115659 0.25 2.1232187541134646e-06 18000 +0.20066666666666666 3.4373629221516285e-05 47326.762000000002 1077.4650000000001 0.38033449235339617 0.00037590375710695717 0.25 3.5242761898778838e-06 18000 +0.24333333333333332 5.9651851219409319e-05 46615.210000000006 972.82500000000016 0.38614006029362519 0.00059245832807561813 0.25 5.5968111298876257e-06 18000.000000000004 +0.28600000000000003 9.7721174519474713e-05 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240.34502154292039 0.4323353608479813 0.0038904116066953219 0.25 3.8888065909481456e-05 17999.999992265941 +0.58466666666666667 0.00092754082359398156 40922.789077042471 135.70992295753436 0.4398526783010111 0.0042794714199313353 0.25 4.314735550544706e-05 17999.998379084493 +0.6273333333333333 0.0011075895642855237 40210.393315204921 31.913684795077277 0.44764076319961338 0.0042198923599580176 0.25 4.2921894027335051e-05 17999.811152174963 +0.67000000000000004 0.0012435375809220833 39426.114999999998 0 0.45655018253764035 0.0031862816399193662 0.25 3.2729459564038393e-05 18000 diff --git a/test/simple_shear_wet_norm.std b/test/simple_shear_wet_norm.std @@ -1,16 +1,16 @@ -0.029999999999999999 0 50172.965022059449 1496.0299779405443 0.35875893555474991 3.0001241280891926e-05 0.25 2.7318132404177852e-07 17999.999524939747 -0.072666666666666657 0.0023975915101466776 49461.407068445289 1391.3959315547136 0.36392007645532853 7.0662742132242279e-05 0.25 6.4804314120744576e-07 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