非均质各向异性油藏水平井产能新解及其影响因素分析

New Production Explanation of Horizontal Well in Heterogeneous Anisotropic Reservoir and Analyzing the Influence Factors

根据水电相似原理,引用物理学中关于点电荷在不同介电常数的无限空间中位场求解方法,将其运用到存在非均质边界的无限大地层中。通过保角变换推导了带角度水平井势函数,并采用镜像反映法等效消去了非均质边界,从而推导出一种求解非均质各向异性油藏水平井产能的新公式,且分析了非均质系数、水平井中心距非均质边界距离、各向异性系数对产能的影响。最后通过实例验证,该公式精确度高、计算简单,可用于确定非均质各向异性油田水平井产能。

According to the principle of similar hydropower, the method of calculating potential field of point charge in the infinite space of different dielectric constant was cited and was applied to the heterogeneous boundary in infinite formation. The potential function of horizontal well with angle was deduced by conformal transformation. And a new formula of horizontal well production capacity in heterogeneous anisotropic oil reservoir was obtained by means of using mirror image theory to eliminate the inhomogeneous boundary. The production capacity was affected by heterogeneity coefficient, the distance of center horizontal well to the heterogeneity boundary, anisotropy coefficient. Finally, the new formula has been proved of high precision and simpleness by the example, so it could be used to determine the capacity of horizontal wells in homogeneous anisotropic oilfield.