关键词: 油藏, 流体流动, 渗透率分布, 自动识别方法, 反演, 数值模拟, 微分方程, 序贯算法

Abstract: An inversion method was proposed on differential equation inversion theory.According to the characterizations of nonlinear coupling between pressure equations and saturability equations,a series of issues in the inversion in time-space domain,the numerical solution of underdetermined integral equation and iterative algorithm without a good initial guess were solved.This method can automatically identify the permeability distribution of incompressible flow reservoir and multi-dimensional multi-phase compressible flow reservoir fleetly and accurately.The results from theoretical model and practical application proved that this method not only richens the differential equation inversion theory,but also has the practical application values.

Key words: oil reservoir, fluid flow, permeability distribution, automatic identification, mathematical simulation, differential equation, sequen-tial inversion