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在考虑平面渗透率各向异性的情况下 ,分析了垂直裂缝井的稳态渗流以及垂直裂缝井无限导流和有限导流的不定常渗流。得到了椭圆形边水油藏中垂直裂缝井稳态渗流近似产量公式和压力分布公式 ,并举例说明渗透率非均质变异系数对产量的影响 :当平均渗透率和其它参数不变时 ,非均质变异系数越小 ,稳态产量越大。在椭圆坐标内建立有限导流及无限导流垂直裂缝井渗流的控制方程 ,利用质量守恒定律得到压力影响半径与无因次时间的关系 ,得到近似压力分布公式以及相应的试井公式。非均质变异系数对典型试井曲线的影响为 :当平均渗透率和其它参数不变时 ,非均质变异系数增大 ,井底压差、压力导数增大 ,说明地层垂直于裂缝方向的渗透率越大越有利于生产。在双对数试井理论图版上 ,无限导流和有限导流垂直裂缝井的试井曲线早期斜率分别为 0 .5和 0 .2 5 ,垂直裂缝井的试井导数曲线在后期恒为 0 .5。图 4参 6
Taking into account the anisotropy of plane permeability, the steady state seepage of vertical fractured wells and the unsteady seepage of finite diversion and infinite diversion of vertical fractured wells are analyzed. The approximate yield formula and pressure distribution formula of vertical steady flow in vertical fractured well in oval edge water reservoir are obtained and the influence of permeability heterogeneity variation coefficient on output is illustrated. When the average permeability and other parameters remain unchanged, The smaller the coefficient of homogenous variation, the greater the steady state yield. The governing equations of finite diversion and infinite conductivity vertical fractured-well seepage are established in elliptic coordinates. The relationship between pressure influence radius and dimensionless time is obtained by the law of conservation of mass. The approximate pressure distribution formula and the corresponding well test formula are obtained. The effect of heterogeneous coefficient of variation on a typical well test curve is that when the average permeability and other parameters are constant, the coefficient of heterogeneity increases, the bottom hole pressure and pressure derivative increase, indicating that the strata are perpendicular to the direction of the fracture The greater the permeability is more conducive to production. In the double logarithmic well test plate, the early slope of the well test curve for the infinite diversion and finite conductivity vertical fractured wells are respectively 0.5 and 0.52, and the well test derivative curve of the vertical fractured well is always 0 .5. Figure 4 reference 6