From 46f6196ee84fdb898267546fb75a4ded8cd750b2 Mon Sep 17 00:00:00 2001
From: Wenqing Wang <wenqing.wang@ufz.de>
Date: Mon, 18 Dec 2017 15:18:58 +0100
Subject: [PATCH] [web] Added a description about the new benchmark
---
Documentation/bibliography.bib | 14 +++
.../hydro-mechanics/InjectionProduction.md | 93 +++++++++++++++++++
.../hydro-mechanics/InjectionProduction.png | 3 +
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create mode 100644 web/content/docs/benchmarks/hydro-mechanics/InjectionProduction.md
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diff --git a/Documentation/bibliography.bib b/Documentation/bibliography.bib
index 2e11dca3f5a..ac3fe786738 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
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++++
+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">â‹…</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">â‹…10<sup>6</sup></span> s, and the time step size is
+8.64 <span class="math inline">â‹…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
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+oid sha256:53c20caf2b381e6b504fdb5ebfa79b6d18c50f1e5f1d68ef6e07784e4ab025d2
+size 15884
--
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