摘要
从渗流理论出发,利用瞬时源、连续源的思想,结合卷积公式、Laplace变换等方法,建立了有限导流垂直裂缝井的产能计算模型,对模型导出的积分方程采用边界元方法(BEM)在Laplace空间进行了求解,利用Stehfest数值反演,获得了实空间的解,从而给出了准确计算有限导流垂直裂缝井产量的方法。此外,还通过定量计算分析了裂缝各设计参数对产量的影响方式和影响程度。通过分析可知,压裂井的日产量随裂缝长度、裂缝渗透率、裂缝宽度的增加而增大,但其产量增加的幅度随三种因素的增大而逐渐减小,因此在实际的油藏水力压裂设计时,应结合压裂成本和增益来考虑合适的设计参数。对压裂井产量预测和水力压裂油藏工程设计具有一定价值。
On basis of the theory of mechanics of fluid flow through porous media,by applying the instantaneous source,continuous source,convolution formula and Laplace transformation method,a productivity calculation model of finite-conductivity vertical fracture is set up.The derived integral equation is soluted with the boundary element method (BEM) in Laplace space.By using of Stehfest numerical inversion,the solution of real space is obtained and thus an accurate method is given for calculating the productivity of finite-conductivity vertical fracture.In addition,by quantitative calculation,how various parameters affect the productivity is analyzed.By analyzing,it can be seen that the productivity increases when the fracture length,fracture permeability and fracture width increase,but the increase rate gradually slows down.So in the design of hydraulic fracturing for actual reservoir,reasonable parameters should be designed by considering fracturing cost and benefit.The results in this paper have certain value for predicting productivity of fracturing well and designing the reasonable parameters on the process of hydraulic fracturing.
出处
《西南石油大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第3期78-82,共5页
Journal of Southwest Petroleum University(Science & Technology Edition)
基金
中国石油天然气股份有限公司科技风险创新基金(07-06D-01-04-02-01)
中国石油天然气集团公司中青年创新基金项目(07E1016)
关键词
垂直裂缝
压裂井
产能
源
拉氏变换
数值反演
vertical fracture
fractured well
productivity
source
Laplace transform
numerical inversion
