关键词: 水平井, 垂直裂缝, 渗流, 试井曲线, 数学模型

Abstract: Horizontal wells in a low permeability reservoir often need hydraulic fracturing treament in order to stimulate production.After the treatment a number of vertical fractures are normally formed.Well tests conducted in horizontal wells with a number of such fractures are analyzed.So far papers about this subject are scarce.It is attempted in this paper to analyze the process of fluid flow through pay zones in a horizontal well penetrating an isotropic reservoir with several vertical fractures created by fracturing treatment,and to develop a new mathematical model of fluid flow through pay zones in such a horizontal well.A dimensionless bottom-hole pressure can be computed by using a new method of integral transformation.The values of such pressures have been used to plot bottom-hole draw-down curves,which can be provided as theoretical charts for well test analyses.A concrete interpretation method is given together with a field example;the fracture half-lenth,fracture conductivity and formation average permeability can be determined.

Key words: horizontal well, vertical fracture fluid flow through pay zones, well test curves, mathematical model