组合分形油藏非达西低速渗流问题

NON-DARCY LOW VELOCITY FLUIDS THROUGH COMPOSITE FRACTAL RESERVOIR

将分形几何结合渗流力学建立了一类组合分形油藏非达西低速渗流的数学模型，即在两个同心圆柱或同心球地层中，中心一口生产井生产时内域为分形油藏非达西低速渗流，外域为分形油藏的达西渗流。讨论了内边界定流量和内边界定压两种情况，并利用拉普拉斯变换求出了两种情况在两个区域内压力分布的精确解．

The mathematical model of the Non-Darcy low velocity fluids through comopite fractal reservoirs was developed by using fractal geornetry combined with mechanics of fiow through porous media. An infinite reservor with a physical radial discontinuity in the rock system is considered. The region nearest to the wellbore is the Non-Dercy low velocity the fractal reservoir with spatial distribution of porosity and permeability, and the outer region,infinite inextent, is Darcy flnids through fractal reservoir. The cases of constant rate and constant pressure are discussed. The haplace transform is used to xolve the distribution of pressure in the inner region and outer region.