天然裂缝性气藏水平井试井典型曲线计算方法

考虑井筒储集和表皮效应,建立了天然裂缝性盒型封闭气藏中水平井三维渗流的数学模型,在获得数学模型解的基础上,针对解的复杂性,研究了压力响应的有效计算方法,获得了正确计算每项无穷级数所需的最小收敛项数,基于无穷级数的最小收敛项数,研究了井筒压力响应的计算方法,并且应用数值积分和拉氏反演计算了用于识别渗流特征和试井分析的典型曲线,提出的计算方法对于快速计算天然裂缝性气藏中水平井试井分析的典型曲线具有实用价值。

ALGORITHM OF TYPICAL CURVES OF WELL TEST ANALYSIS FOR HORIZONTAL WELL IN NATURAL FRACTURED GAS RESERVOIR

The 3-D fluid flow with box-shape-bounded gas reservoir was set up in this paper, which was involved in wellbore storage and skin effect in natural fracture for horizontal well. On the basis of solutions of mathematical model, an effective calculating method of pressure response was studied, minimum convergence item of infinite series were obtained. on the basis of minimum convergence item of infinite series, the typical curves of well test analysis and fluid flow feature by numerical integral and Laplace’s reverse, algorithm presented in this paper is of practical value for fast calculating typical curves of well test analysis of horizontal well in natural fractured gas reservoirs.