基于物质平衡方程的非均质气藏井组间连通性评价  

Evaluation on inter-well groups connectivity with material balance equation(MBE)for heterogeneous gas reservoirs

作　　者：孟凡坤 刘晓华[3] 郭振华[3] 罗瑞兰[3] 刘佳 MENG Fankun;LIU Xiaohua;GUO Zhenhua;LUO Ruilan;LIU Jia(Key Laboratory of Drilling and Production Engineering for Oil and Gas,Wuhan 430100,China;Yangtze University,Wuhan 430100,China;PetroChina Research Institute of Petroleum Exploration&Development,Beijing 100083,China)

机构地区：[1]油气钻采工程湖北省重点实验室,湖北武汉430100 [2]长江大学,湖北武汉430100 [3]中国石油勘探开发研究院,北京海淀100083

出　　处：《天然气地球科学》2024年第6期1070-1081,共12页Natural Gas Geoscience

基　　金：国家自然科学基金项目(编号:52104018);中国石油天然气股份有限公司“十四五”前瞻性基础性重大科技项目(编号:2021DJ1505)联合资助。

摘　　要：针对碳酸盐岩气藏储层非均质性强、井/井组间连通关系不明确的问题,基于具有补给的气藏物质平衡方程,建立多井组物质平衡计算数学模型,引入连通传导率概念,通过逐次替换法考虑井组间的不稳定窜流供给,采用Newton-Raphson非线性迭代算法对模型进行数值求解;运用粒子群算法拟合各井组地层压力,反演各井组动态储量及井组间连通传导率,最终形成基于物质平衡的非均质气藏井组间连通性定量评价方法。为验证该方法的准确性,建立了具有2口井的气藏数值模拟模型,设置不同生产制度、井组间渗透率及储量规模,分别采用提出的方法进行拟合反演,结果表明,反演传导率值与实际值间误差小于8%,井组间累积供气量计算值与实际值符合程度较好,满足工程应用的要求。最后,运用提出的方法精确拟合了四川盆地磨西地区龙王庙组气藏某井区7个井组地层压力,反演井组间传导率,厘清了井组间供气方向,为气藏精准调控技术政策的制定提供了依据。Due to the serious heterogeneity of carbonate gas reservoir,the inter-well connectivity is difficult to determine accurately indeed.Therefore,based on the gas MBE with supplied from surrounding regions,the mathematical model for multi-well group MBE calculation is proposed.The concept of connectivity is introduced,and the transient crossflow of inter-well is considered through the successive iteration method,Newton-Raphson method,which is one of classical no-linear iteration methods,is used to solve the presented model.The particle swarm optimization(PSO)algorithm is applied for matching the formation pressure of well groups,and simultaneously the dynamic gas reserves and the inter-well connectivity are inversed.The evaluation method on inter-well connectivity with MBE for gas reservoirs is developed.To verify the accuracy of the proposed method,the gas numerical simulation model with two wells is developed,and the cases that have different production schemes,inter-well formation permeability and gas reserves are set reasonably.With the presented model in this paper,the formation pressure and the crossflow rate are matched and the inter-well connectivity is reversed.The results show that the error between inversed inter-well connectivity and real value is lower than 8%,and the calculated cumulative crossflow rate can match the actual value well,which could meet the requirement of application in practice.Finally,with the proposed model,the formation pressure and inter-well connectivity for seven regions in some area,Longwangmiao gas reservoir are matched and inversed precisely.Thus,the inter-well gas supply can be determined accurately,which can provide some guidance for the future adjustment of technical strategies.

关 键 词：物质平衡方程 井组间连通性 连通传导率 井组补给 动态储量 地层压力 拟合反演 

分 类 号：TE121.3[石油与天然气工程—油气勘探]