1. Reference problem#
1.1. Geometry#
An axisymmetric rock mass is considered. It is separated into two parts by a vertical discontinuity \([\mathrm{EF}]\).
Point coordinates (in meters):
\(x\) |
|
\(x\) |
|
||||
\(A\) |
0 |
0 |
|
\(D\) |
0 |
1 |
|
\(B\) |
1 |
0 |
|
\(E\) |
0.35 |
0 |
|
\(C\) |
1 |
1 |
|
0.35 |
1 |
1.2. Material properties#
Properties of intersticial fluid (liquid water):
Density |
\(1000{\mathrm{kg.m}}^{-3}\) |
Viscosity |
\({1.10}^{-3}\mathrm{Pa.s}\) |
Compressibility |
\({3.10}^{9}\mathrm{Pa}\) |
Properties of the massif:
The massif is elastic and has the following properties:
Young’s module |
\(200\mathrm{MPa}\) |
Poisson’s Ratio |
\(\mathrm{0,25}\) |
Porosity |
\(\mathrm{0,4055}\) |
Intrinsic permeability |
\(\mathrm{1,688}{.10}^{-17}{m}^{2}\) |
Properties of the discontinuity:
The mechanical behavior of the discontinuity is given by Bandis’s law. Its expression is detailed in the reference material [R7.02.15].
The material parameters used are:
Initial normal stiffness \({K}_{\text{ni}}\) |
|
Asymptotic opening \({U}_{\mathrm{max}}\) |
|
Coefficient \(\gamma\) |
|
Tangential stiffness \({K}_{\text{t}}\) |
|
1.3. Initial conditions#
The initial conditions are as follows:
initial opening of the joint \({\varepsilon }_{0}\): \(\mathrm{1,95}{.10}^{-5}m\)
initial hydraulic pressure in the massif: \(\mathrm{0,0}\mathrm{MPa}\)
initial radial and orthoradial compression stress: \(\mathrm{12,3}\mathrm{MPa}\)
1.4. Boundary conditions#
The mechanical and hydraulic boundary conditions are as follows:
On \([\mathrm{AB}]\): imposed hydraulic pressure of \(\mathrm{1,0}\mathrm{MPa}\)
On \([\mathrm{BC}]\): imposed mechanical pressure of \(\mathrm{12,3}\mathrm{MPa}\) and zero hydraulic flow
On \([\mathrm{CD}]\): movements blocked in \(y\) and zero hydraulic flow
On \([\mathrm{DA}]\): movements blocked in \(x\) and zero hydraulic flow