Fluid e.g. oil, flow in multilayer porous medium modeling method, involves discretizing each fractured layer by grid pattern, and calculating local flows between each fracture grid cell and associated matrix volume in pseudo-steady state

摘要

Modeling compressible fluid flows in a multilayer porous medium involves discretizing each fractured layer by a grid pattern comprising fracture rigid cells that are centered on nodes each node being associated with a matrix block, and calculating the local flows between each fracture grid cell and associated matrix volume in pseudosteady state. Modeling compressible fluid flows in a multilayer porous medium crossed by a network of fractures of given geometry and by a well involves: (a) discretizing each fractured layer by a grid pattern comprising fracture rigid cells that are centered on nodes at the fracture intersections or at the fracture ends, each node being associated with a matrix block including all the points that are closer than to neighboring nodes; (b) calculating the local flows between each fracture grid cell and associated matrix volume in a pseudosteady state, the transmissivity value being obtained by considering a linear variation of the pressure as a function of the distance between any point of the block and the fracture grid cell; (c) determining the direct flows between the fracture grid cells; (d) determining the direct flow between the matrix volumes through the common edges of the grid cells; (e) determining the direct flows between the fracture grid cells and the matrix grid cells on the one hand, and the volume of the well on the other hand; and (f) simulating the response of the well for imposed flow rate variations by using a diffusion equation that connects the interactions between the pressure and flow rate variations that can be observed in the well.