Analytical solution and flow behaviour of horizontal well in stress-sensitive naturally fractured reservoirs

This paper presents nonlinear mathematical models to analyse the fluid flow behaviour from such reservoir to a horizontal well with the consideration of permeability stress-sensitive. The models assume the formation permeability is an exponential function of the pressure in fracture system. By using perturbation technique, Laplace and Fourier transforms, the solutions are obtained in Laplace space. For well producing at a constant rate, the pressure drop increases with the increasing of permeability modules (gamma) and the derivative curves will be warped up during the later radial flow period. For well producing at a constant pressure, the bigger the. is, the lower the production rate will be. The reliable agreement between the analytical solution with the numerical solution prove the correctness of the results obtained in this paper, which have both theoretical and practical significance in predicting production performance and evaluating groundwater flow and contaminant transport in such formations.