... plates. The validation studies presented indicate the accuracy of our model at reproducing the analytical solutions to coupled geomechanics and fracture propagation problems. We show that the iterative coupling of pEDFM with XFEM accounts for the presence of low-conductivity fractures in the vicinity...

...+ (involving square root tip elements) numerical schemes, all of which were validated against the analytical solution of Sneddon and Elliot (1946). The improved accuracy and computational efficiency obtained using the 2D HDDM and 2D HDDM+ numerical schemes led to further enhancement of the simulator...

.... In this paper, a new analytical solution for the QFM is derived. In order to simplify the problem, the matrix flow is divided into two parts: one feeding the macro-fracture and the other feeding the micro-fracture. Then, four partial differential equations (PDEs) are obtained to express the transient linear...

... by applying Pedrosa's transformation, features of the perturbation technique and modified Bessel functions are implemented to determine the analytical solution in Laplace space. Finally, the real-time solution is obtained by inverting through Stehfest and GWR method. The model captures the combined effect...