分形油藏非牛顿幂律液的不稳定渗流

/NONSTEADY FLOW OF NON NEWTONIAN FLUIDS THROUGH FRACTAL RESERVOIR IN THE PRESENCE OF A THRESHOLD GRADIENT

根据分形几何学并结合渗流力学，建立了无限圆柱对称有分形结构的油藏的单相微可压缩、具有起始压力梯度非牛顿幂律液径向流的解析压力不稳定模型，导出了描述分形油藏幂律流的新的偏微分方程。利用拉氏变换和格林函数，得出了分形油藏无限大地层中心一口井在定产量生产时及稳态和不稳态条件下的井底压力解和渐近解。

A new analytical pressure transient model is presented for calculating the pressure of single phase radial flow of slightly compressible non Newtonian and power law fluid in an infinite cylindrical symmetry reservoir with a fractal structure in the presence of a threshold gradient by using fractal geometry combined with mechanics of flow through porous media. The equations for describing power law flow in fractal reservoir are deduced. The analytical solutions of the equations for an infinite reservoir and a single well situation under the conditions of steady and unsteady flow situations are obtained. The early time and late time limiting forms of the wellbore pressure solutions are presented.