.. _AdvancedExampleDeviatedPoroElasticWellboreDrilling: ######################################################################################### Deviated Poro-Elastic Wellbore Subjected to In-situ Stresses and Pore Pressure ######################################################################################### ------------------------------------------------------------------ Problem description ------------------------------------------------------------------ This example deals with the problem of drilling a deviated poro-elastic wellbore. This is an extension of the poroelastic wellbore example :ref:`AdvancedExampleDeviatedPoroElasticWellbore` with the consideration of in-situ stresses and in-situ pore pressure. Both pore pressure and mud pressure are supposed to be nil at the borehole wall following the consideration of `(Abousleiman and Cui, 1998) `__. Also, the in-situ horizontal stresses are anisotropic, i.e. :math:`\sigma_{hmax}` > :math:`\sigma_{hmin}`. The wellbore trajectory is deviated from the directions of the in-situ stresses. Analytical solutions of the pore pressure, the radial and hoop stresses in the near wellbore region are given by `(Abousleiman and Cui, 1998) `__. They are hereby used to verify the modeling predictions. **Input file** Everything required is contained within two GEOS xml files that are located at: .. code-block:: console inputFiles/wellbore/DeviatedPoroElasticWellbore_Drilling_base.xml .. code-block:: console inputFiles/wellbore/DeviatedPoroElasticWellbore_Drilling_benchmark.xml This case is nearly identical to another example :ref:`AdvancedExampleDeviatedPoroElasticWellbore`, except for the ``FieldSpecifications`` tag. For this specific case, we need to consider following additional field specifications to define the in-situ stresses, in-situ pore pressure, as well as the zero pore pressure at the borehole wall. .. literalinclude:: ../../../../../../../inputFiles/wellbore/DeviatedPoroElasticWellbore_Drilling_base.xml :language: xml :start-after: :end-before: --------------------------------- Results and benchmark --------------------------------- Pore pressure distribution after 78 s injection is shown in the figure below: .. figure:: pressure_drilling.png :align: center :width: 800 :figclass: align-center A good agreement between the GEOS results and the corresponding analytical solutions `(Abousleiman and Cui, 1998) `__ is shown in the figure below: .. plot:: docs/sphinx/advancedExamples/validationStudies/wellboreProblems/deviatedPoroElasticWellbore/deviatedPoroElasticWellboreExample2Figure.py ------------------------------------------------------------------ To go further ------------------------------------------------------------------ **Feedback on this example** This concludes the deviated poro-elastic wellbore example with in-situ stresses and pore pressure effects. For any feedback on this example, please submit a `GitHub issue on the project's GitHub page `_.