点源函数在水平井及多分支井试井理论中的应用

Application of Point Source Function to Well Test Theory of Horizontal Wells and Multi-lateral Wells

李树松 陈伟 段永刚 杨志兴

LI Shusong CHEN Wei DUAN Yonggang YANG Zhixing

中海油湛??分公司技术部，广东湛江　524057 西南石油大学，四川成都　610500

Technical Department of CNOOC Ltd.-Zhanjiang, Zhangjiang 524057, China Southwest Petroleum University, Chengdu 610500, China

水平井和多分支井已成为海洋油田最重要的开发方式之一。以水平井和多分支井为研究对象，以点源函数理论为基础，综合运用油气藏地质、油气藏渗流理论、格林函数、偏微分方程及计算数学等多方面的知识，建立水平井和多分支井的不稳态渗流数学模型，对模型在拉氏空间内进行求解，并特别研究了鱼骨形多分支井的渗流特征。研究表明，多分支井的渗流特征与水平井相似，只是多出1个分支干扰过渡期。

Horizontal wells and multilateral wells have already been one of most important technologies for developing offshore oilfield. Based on point source function, this paper sets up a mathematical model with unsteady-state seepage flow for horizontal wells and multilateral wells, with integration of multiple knowledge such as reservoirs geology, seepage theory, Green function, partial differential equations and computational mathematics. The model is solved in Laplace space. Percolation characteristics of fishbone multilateral well are studied especially.