tInclude pore-skeleton compressibility - cngf-pf - continuum model for granular flows with pore-pressure dynamics (renamed from 1d_fd_simple_shear)
(HTM) git clone git://src.adamsgaard.dk/cngf-pf
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(DIR) Files
(DIR) Refs
(DIR) README
(DIR) LICENSE
---
(DIR) commit c8aaf9f9454be4cea38bddc085d52ca87f226113
(DIR) parent a01a6668b57491f2fd1bf7156bcf93607dec5add
(HTM) 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.s… | 400 ++++++++++++++++----------------
M test/simple_shear_wet_vari_pulse_v… | 400 ++++++++++++++++----------------
14 files changed, 677 insertions(+), 652 deletions(-)
---
(DIR) diff --git a/1d_fd_simple_shear.1 b/1d_fd_simple_shear.1
t@@ -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
t@@ -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
(DIR) diff --git a/1d_fd_simple_shear.c b/1d_fd_simple_shear.c
t@@ -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] "
t@@ -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;
(DIR) diff --git a/fluid.c b/fluid.c
t@@ -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;
}
t@@ -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;
t@@ -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
t@@ -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) {
t@@ -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) {
(DIR) diff --git a/max_depth_simple_shear.1 b/max_depth_simple_shear.1
t@@ -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
t@@ -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
(DIR) diff --git a/max_depth_simple_shear.c b/max_depth_simple_shear.c
t@@ -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] "
t@@ -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) */
t@@ -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;
(DIR) diff --git a/simulation.c b/simulation.c
t@@ -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);
t@@ -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",
(DIR) diff --git a/simulation.h b/simulation.h
t@@ -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] */
(DIR) diff --git a/test/max_depth_misc.std b/test/max_depth_misc.std
t@@ -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
(DIR) diff --git a/test/shear_flux_wet.std b/test/shear_flux_wet.std
t@@ -1 +1 @@
-0.00023025805773005877
+0.0002277446772108036
(DIR) diff --git a/test/simple_shear_wet.std b/test/simple_shear_wet.std
t@@ -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
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(DIR) diff --git a/test/simple_shear_wet_norm.std b/test/simple_shear_wet_norm.std
t@@ -1,16 +1,16 @@
-0.029999999999999999 0 50172.965022059449 1496.0299779405443 0.35875893555474991 3.0001241280891926e-05 0.25 2.7318132404177852e-07 17999.999524939747
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-0.11533333333333333 0.0069089241123305991 48749.837463439944 1286.7735365600599 0.36923195348141308 0.00013295973521419328 0.25 1.2282314701914466e-06 17999.997718527306
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(DIR) diff --git a/test/simple_shear_wet_vari.std b/test/simple_shear_wet_vari.std
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(DIR) diff --git a/test/simple_shear_wet_vari_pulse.std b/test/simple_shear_wet_vari_pulse.std
t@@ -1,200 +1,200 @@
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(DIR) diff --git a/test/simple_shear_wet_vari_pulse_vlim.std b/test/simple_shear_wet_vari_pulse_vlim.std
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