diff --git a/Documentation/bibliography.bib b/Documentation/bibliography.bib index 2e11dca3f5aeaa3130bc67ca2bc8f4536487381e..ac3fe78673864fea14cdd21f7456e881163a122d 100644 --- a/Documentation/bibliography.bib +++ b/Documentation/bibliography.bib @@ -130,3 +130,17 @@ year={2015}, publisher={Elsevier} } + +@article{kimTchJua2011, + title = "Stability and convergence of sequential methods for coupled flow and + geomechanics: Drained and undrained splits", + journal = "Computer Methods in Applied Mechanics and Engineering", + volume = "200", + number = "23-24", + pages = "2094--2116", + year = "2011", + note = "", + doi = "https://doi.org/10.1016/j.cma.2011.02.011", + url = "https://www.sciencedirect.com/science/article/pii/S0045782511000466", + author = "Kim, J. and Tchelepi, H.A. and Juanes, R" +} \ No newline at end of file diff --git a/web/content/docs/benchmarks/hydro-mechanics/InjectionProduction.md b/web/content/docs/benchmarks/hydro-mechanics/InjectionProduction.md new file mode 100644 index 0000000000000000000000000000000000000000..89ff1c98ffcbd6e7746b63225055f56339387598 --- /dev/null +++ b/web/content/docs/benchmarks/hydro-mechanics/InjectionProduction.md @@ -0,0 +1,93 @@ ++++ +date = "2017-12-29" +title = "StaggeredScheme" +weight = 151 +project = "HydroMechanics/StaggeredScheme/InjectionProduction1D/InjectionProduction1D.prj" +author = "Wenqing Wang" + +[menu] + [menu.benchmarks] + parent = "hydro-mechanics" + ++++ + +{{< data-link >}} + +--- +# Consolidation example based on fluid injection and production application + +{{< img src="../InjectionProduction.png" >}} + +This benchmark is based on an example about injection and +production well that is present by Kim et al. \cite kimTchJua2011, and it is used to verified the monolithic scheme +that is implemented in ogs 6 for modelling the coupled hydraulic +mechanical (HM) processes in the porous media. The deformation is +assumed as plane strain, and the problem is defined in a 10 x 150 m <span class="math inline"><em></em><sup>2</sup></span> +domain (as shown in the figure). Initially, the pore pressure and the +initial stress are set to zero, respectively. All boundaries are +assigned with no fluid flux for the hydraulic process. On the lateral +and the bottom boundaries, no vertical displacement is prescribed. On +the top surface, vertical traction boundary condition of 2.125 MP is +applied. The gravity is neglected in both of the Darcy velocity and the +momentum balance equation. + +The material properties are shown in the following table. + +<p>The material properties are shown in the following table.</p> +<table> +<caption>Material properties of fluid injection and production example</caption> +<thead> +<tr class="header"> +<th align="left">Property</th> +<th align="left">Value</th> +<th align="left">Unit</th> +</tr> +</thead> +<tbody> +<tr class="odd"> +<td align="left">Water density</td> +<td align="left">1,000</td> +<td align="left">kg/m<span class="math inline"><em></em><sup>3</sup></span></td> +</tr> +<tr class="even"> +<td align="left">Porosity</td> +<td align="left">0.3</td> +<td align="left">–</td> +</tr> +<tr class="odd"> +<td align="left">Viscosity</td> +<td align="left"><span class="math inline">10<sup>−3</sup></span></td> +<td align="left">Pa<span class="math inline">⋅</span>s</td> +</tr> +<tr class="even"> +<td align="left">Specific storage</td> +<td align="left"><span class="math inline">10<sup>−4</sup></span></td> +<td align="left">m <span class="math inline"><em></em><sup>−1</sup></span></td> +</tr> +<tr class="odd"> +<td align="left">Intrinsic permeability</td> +<td align="left"><span class="math inline">4.9346165<em>e</em> × 10<sup>−11</sup></span></td> +<td align="left">m<span class="math inline"><em></em><sup>2</sup></span></td> +</tr> +<tr class="even"> +<td align="left">Young’s modulus</td> +<td align="left"><span class="math inline">5 × 10<sup>8</sup></span></td> +<td align="left">Pa</td> +</tr> +<tr class="odd"> +<td align="left">Posson ratio</td> +<td align="left">0.3</td> +<td align="left">–</td> +</tr> +</tbody> +</table> + +The time duration is 8.64 8.64 <span class="math inline">⋅10<sup>6</sup></span> s, and the time step size is +8.64 <span class="math inline">⋅10<sup>4</sup></span> s. The example is also solved by the monolithic +scheme for a reference solutions. The displacement solution at the last +time step is shown in the enclosed figure too. + + +## References + +{{< bib id="kimTchJua2011" >}} diff --git a/web/content/docs/benchmarks/hydro-mechanics/InjectionProduction.png b/web/content/docs/benchmarks/hydro-mechanics/InjectionProduction.png new file mode 100644 index 0000000000000000000000000000000000000000..0ff9f1d15c1bfd1e2046802b0ea15230e70a78f8 --- /dev/null +++ b/web/content/docs/benchmarks/hydro-mechanics/InjectionProduction.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:53c20caf2b381e6b504fdb5ebfa79b6d18c50f1e5f1d68ef6e07784e4ab025d2 +size 15884