LIU Qiguo, XU Youjie, LIU Yicheng, QI Shengzhi. A New Well Test Analysis Method for Multi-Stage Fractured Horizontal Wells With Angle Faults[J]. Applied Mathematics and Mechanics, 2018, 39(5): 558-567. doi: 10.21656/1000-0887.380297
 Citation: LIU Qiguo, XU Youjie, LIU Yicheng, QI Shengzhi. A New Well Test Analysis Method for Multi-Stage Fractured Horizontal Wells With Angle Faults[J]. Applied Mathematics and Mechanics, 2018, 39(5): 558-567.

# A New Well Test Analysis Method for Multi-Stage Fractured Horizontal Wells With Angle Faults

##### doi: 10.21656/1000-0887.380297
Funds:  The National Science and Technology Major Project of China（2017ZX05009-004;2016ZX05015-003）
• Rev Recd Date: 2018-01-15
• Publish Date: 2018-05-15
• Closed faults exist in some regions of eastern China, and they have great influence on the pressure characteristics of oil wells. Based on the basic principles of seepage mechanics, firstly, the bottom pressure solution of infinite-conductivity vertical fractured wells in the Laplace space was obtained by means of the basic theory of point source function and the Laplace integral transform. Combined with the conductivity function, the pressure solution of finite-conductivity vertical fractured wells was obtained. Secondly, the solution of multi-stage fractured horizontal wells with different angle faults was obtained with the mirror reflection principle and the pressure drop superposition principle. The pressure solution in the real space was given through the Stehfest numerical inversion, and the typical pressure as well as the pressure-derivative log-log curves were drawn. The results show that, the typical characteristic curve is divided into 8 flow stages, the pressure derivative is a horizontal line of a 0.5×360°/θ in the phase of fault reflection, and the smaller the vertical distance from the horizontal well center to the fault is, because the pressure-derivative curve characteristics of the radial flow are covered by the boundary reflection characteristic curve, the earlier the fault reflection time will be. Moreover, the larger the spacing between adjacent fractures is, the more obvious the early mirror flow characteristic curve will be; the larger the fracture number is, the lower the early pressure and pressure-derivative curve will be; and the larger the bilinear flow stage pressure derivative curve is, the lower conductivity will be. The accurate evaluation of reservoirs with closed fault boundaries and the reliable calculation of relevant parameters can be made through the proposed model.
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