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在天然裂缝油藏中，裂缝的主方向决定了主渗透率的方向，确定裂缝方位对于天然裂缝油藏开发和注水方案的设计具有重要的意义。基于Ｗａｒｅｎ和Ｒｏｏｔ提出的双孔隙度模型建立了各向异性天然裂缝油藏的数学模型，通过坐标变换和Ｌａｐｌａｃｅ变换，求出了该模型在Ｌａｐｌａｃｅ空间的分析解，用Ｓｔｅｆｅｓｔ数值反演方法求出该模型在实空间的解。同时给出了用最小二乘法对多井干扰试井的压力数据拟合确定裂缝方位的方法。
In natural fractured reservoirs, the main direction of fractures determines the direction of main permeability, and determining the orientation of fractures is of great significance to the design of natural fractured reservoirs for development and waterflooding. Based on the double porosity model proposed by Waren and Root, a mathematical model of an anisotropic natural fractured reservoir is established. The analytic solution of the model in Laplace space is obtained by coordinate transformation and Laplace transform. Stefest numerical inversion method is used to derive Solution of the model in real space. At the same time, the least square method is used to fit the pressure data of multiwell well test to determine the fracture orientation.