Saturated poroelastic hollow cylinder subjected to non-stationary boundary pressure – Model and laboratory test
Copyright 2004, ARMA, American Rock Mechanics Association. The fundamental poroelastic solutions provide the framework for modeling of flow-induced stresses and deformations in saturated porous rocks, which is of significant interest in petroleum and mining geomechanics. We have developed an extended solution for the mechanical response of the poroelastic hollow cylinder under non-stationary stress and pressure boundary conditions. The solution was obtained in Laplace space and it was verified with published results for the special case of boundary conditions using numerical Laplace inversion. The proposed solution was successfully used to model and interpret laboratory tests. It was found that the solutions with simplified assumption of instantaneously applied pressure might overestimate the flow induced tensile radial stresses and under some conditions the results differ even qualitatively. The change in average axial stresses versus hole pressure obtained from the laboratory test was in good agreement with the model prediction. The developed solution can be used for laboratory test interpretation, optimization of the openhole completion and well control operations, prediction of wellbore collapse and bridging during oil or gas blowouts, and the subsequent estimation of probability of blowouts "self-killing".
author list (cited authors)
Jourine, S., Schubert, J. J., & Valkó, P. P.