Pressure Transient Analysis of theVertical Fractured Well in Three-SeparateZone With Crossflow in Boxed Reservoirs

摘要

For low permeability or damaged formations, hydraulicfracturing is a broad applied technology. A new mathematicalmodel of the well with infinite-conductivity vertical fractures isdescribed in a three-separate-zone with crossflow in a boxedreservoir, Based on the model, pressure transient behaviors of thevertically fractured well intercepting a three-separate-zone withcrossflow is described through the methods of Laplace transform,Fourier integral transform and Stehfest numerical inversion. Theinfluences of parameters of the three-separate-zone withcrossflow in a boxed reservoir such as rectangular boundarylength (yeD), half fracture length (xfD), the permeability ratio (κ1,κ2, κ3), interporosity flow parameter (λ1, λ2), and storability ratio(ω1, ω2, ω3), have the pressure response of a fractured well .Loglogdiagnosis graphs of the vertically fracture well pressure aregiven and analyzed here. The methods can instruct the allocation of production and injection rates, dynamic forecast anddevelopment technology of the three-separate-zone with crossflowwith infinite-conductivity hydraulic vertically fracture.