试井解释中识别直线断层的新方法

针对实际情况给出了新的数学模型来研究断层，该模型中考虑了井筒储存，表皮效应和井半径的几何因素，微发方程和边界条件均考虑了断层的影响，应用拉普拉斯变换和贝塞尔函数加法定理，求得井筒拉普拉斯压力，据此制作了识别直线断层的新型复合图版－拉普拉斯空间典型曲线，图版中引入了新的特征参数团，该参数团表征了井筒储存，表皮效应和断层３者的影响，详细分析了断层离测点的距离对典型曲线特征的影响，应用文中的图版可以识别

A New Method of Recognizing Linear Fault in Well Test Analysis

In the light of the actual situation, a new mathematical model is presented for investigating a linear fault. The wellbore storage skin effect and radius of well are considered in the model. The equations and boundary conditions contain the fault effect. By using the Laplace transform and addition thorem for Bessel function ,the Laplace pressure at wellbore is obtained.Therefore, the new composite graph (that is Laplace space type curves) is drawed for recognizing the linear fault. A new feature parameter group is introduced in the graph. which represents the effects of the wellbore storage, skin and fault. The effect of distance between the fault and the test point on the curves is discussed in detail. A linear fault, which is reflected by the difference between early and late time pressure, can be detected by the type curves in this paper.