SummaryIn this paper, the analytical dual-porosity dual-permeability poromechanics solution for saturated cylinders is extended to account for electrokinetic effects and material transverse isotropy, which simulate the responses of chemically active naturally fractured shale under time-dependent mechanical loading and ionic solution exposure.The solution addresses the stresses, fracture pore pressure, matrix pore pressure, fluid fluxes, ion concentration evolution, and displacements due to the applied stress, pore pressure, and solute concentration difference between the sample and the circulation fluid. The presented solution will not only help validate numerical simulations but also assist in calibrating and interpreting laboratory results on dual-porosity dual-permeability shale. It is recommended that the analytical solutions of radial and axial displacements be used to match the corresponding laboratory-recorded data to determine shale dual permeability and chemo-electrical parameters including membrane coefficient, ions diffusion coefficients, and electro-osmotic permeability.KEYWORDS chemically active, dual-poro-chemo-electro-elasticity, electro-osmotic permeability, natural fractures, shale
| INTRODUCTIONThe recent boom in oil and gas production from shale reservoirs around the world has produced a tectonic shift in the global energy landscape. However, despite the promising potentials, there are still many challenges in understanding, analyzing, and predicting the behaviors of these unconventional reservoirs during drilling, stimulation, and production. Some of these challenges come from the complex geomechanics properties of shale. Most shales have higher degree of mechanical anisotropy than conventional reservoir rocks. In addition, shale displays swelling and shrinking behaviors when exposed to aqueous drilling and stimulation fluids because of the electrochemical interaction between its clay content and the solutions. Furthermore, many shales are naturally fractured, as illustrated in Figure 1, resulting in complex pore pressure distribution and evolution in the dual-porosity dual-permeability system. It is noted that shales with dual-porosity system that might result from different scales of pore structures 1 can be also modeled using the current approach.This study aims to investigate the behavior of dual-porosity dual-permeability shale rocks under laboratory conditions. The original dual-porosity dual-permeability concept for fractured/fissured rocks was proposed by Barenblatt et al. 2 The 2 overlapping continua, primary porosity and secondary porosity, possess their own fluid pressure fields. Warren and Root 3 proposed an idealized dual-porosity model, assuming that the secondary porosity consists of an orthogonal system of uniform fractures and that fluid can communicate between primary and secondary porosities, but not among the primary porosity elements. Later on,