Abstract: A three-dimensional hybrid reservoir model representative of a fractured subterranean reservoir is created for simulating fluid flow. The model includes porous matrix blocks and a network of long fractures, which include two-dimensional fracture blocks, that ideally overly and are fluidly connected to the matrix blocks. To simulate fluid flow, matrix and fracture flow equations are obtained and effective fluid flow transmissibilities are determined. The matrix and fracture flow equations are then coupled via the effective fluid flow transmissibilities, such that they can be solved simultaneously for flow responses. The long fractures can be in direct fluid communication with one or more intersecting wells or other fractures. These intersections can be modeled as a point source to enhance numerical stability during simulation.

Abstract: The present invention includes a method, system and apparatus for simulating fluid flow in a fractured subterranean reservoir. A three-dimensional hybrid reservoir model representative of a fractured subterranean reservoir is created. The model includes porous matrix blocks and a network of long fractures overlying the matrix blocks. The networks of long fractures include two-dimensional fracture blocks. Matrix and fracture flow equations for fluid flow in the matrix and fracture blocks are obtained. The effective fluid flow transmissibilities between the matrix blocks and the fracture blocks are determined. The matrix and fracture flow equations are coupled via the effective fluid flow transmissibilities. The matrix and fracture flow equations are then solved simultaneously for flow responses. Two-dimensional fracture blocks are used which ideally overly and are fluidly connect to underlying matrix blocks. The long fractures may be in direct in fluid communication with one or more intersecting wells.