双渗四重介质试井分析模型的研究
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摘要
针对碳酸盐油藏复杂储层特征和渗流规律,建立大裂缝、微裂缝、溶蚀孔洞和基岩双渗四重介质数学模型。采用Laplace变换对渗流微分方程进行求解,得到大裂缝和微裂缝的渗流微分方程组。将含有特征参数的通解代入到微分方程组,根据解的存在唯一性条件,求出特征参数。结合内外边界条件确定出微分方程的特解,从而获取Laplace空间井底压力的解析解,为双渗四重介质碳酸盐储层的试井分析提供理论依据。
The mathematical model of the dual-permeability quadruple-media with large-scale fractures,micro-fractures,vugs and matrix was established for the carbonate oil reservoirs of the complex reservoir characteristics and seepage laws. The Laplace transformation was used to solve the differential equations of seepage,and the differential equations of large-scale fractures and micro-fractures were obtained. The general solution containing the characteristic parameters was replaced by differential equations,and the characteristic parameters were obtained according to the uniqueness and the existence condition of the solution. The special solution of the differential equation was determined by combining the internal and external boundary conditions,and the analytical solution of the bottom hole pressure in the Laplace space was obtained,which provided the theoretical basis for well test analysis of carbonate reservoir with the dual-permeability quadruple-media.
The mathematical model of the dual-permeability quadruple-media with large-scale fractures,micro-fractures,vugs and matrix was established for the carbonate oil reservoirs of the complex reservoir characteristics and seepage laws. The Laplace transformation was used to solve the differential equations of seepage,and the differential equations of large-scale fractures and micro-fractures were obtained. The general solution containing the characteristic parameters was replaced by differential equations,and the characteristic parameters were obtained according to the uniqueness and the existence condition of the solution. The special solution of the differential equation was determined by combining the internal and external boundary conditions,and the analytical solution of the bottom hole pressure in the Laplace space was obtained,which provided the theoretical basis for well test analysis of carbonate reservoir with the dual-permeability quadruple-media.
引文
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[2]刘化普,刘慧卿,王敬.缝洞型三重介质油藏分形渗流规律[J].新疆石油地质,2017,38(02):204-208.
[3]刘化普.三重介质页岩气藏分形渗流特征[J].中外能源,2017,22(05):26-31.
[4]程时清,张利军,李相方.三重介质分支水平井试井分析[J].水动力学研究与进展A辑,2009,24(02):127-132.
[6]樊怀才,钟兵,刘义成,等.三重介质底水气藏非稳态水侵规律研究[J].天然气地球科学,2015,26(03):556-563.
[7]刘文超,姚军.三重介质油藏有限导流垂直裂缝井的流-固耦合模型[J].工程力学,2013,30(03):402-409.
[8]贾永禄,孙高飞,聂仁仕,等.四重介质油藏渗流模型与试井曲线[J].岩性油气藏,2016,28(01):123-127.
[9]张利军,程时清,尹洪军.双渗三重介质油藏试井分析[J].特种油气藏,2008,13(05):66-69.
[10]程时清,屈雪峰.三重介质模型试井分析方法[J].油气井测试,1997,12(01):5-11.
[11]顾岱鸿,丁道权,刘军.三重介质页岩气藏分段压裂水平井产能预测模型[J].大庆石油地质与开发,2016,35(01):158-165.
[12]常学军,姚军,戴卫华,等.裂缝和洞与井筒连通的三重介质油藏试井解释方法研究[J].水动力学研究与进展(A辑),2004,23(03):339-346.
[13]赵玉龙,张烈辉,青胜兰.三重介质油藏非牛顿幂律流体试井模型与典型曲线分析[J].水动力学研究与进展A辑,2010,25(02):254-261.
[14]任俊杰,郭平,汪周华.三重介质油藏斜井压力动态特征分析[J].水动力学研究与进展A辑,2012,27(01):7-15.
[15]杨坚,姚军,王子胜.三重介质复合油藏压力动态特征研究[J].水动力学研究与进展(A辑),2005,13(04):418-425.
[16]张冬丽,李江龙,杜文军,等.缝洞型油藏三重介质油水两相流数值试井解释方法[J].水动力学研究与进展A辑,2010,25(04):429-437.
[17]张冬丽,李江龙,吴玉树.缝洞型油藏三重介质数值试井模型[J].西南石油大学学报(自然科学版),2010,32(02):82-88.
[18]张冬丽,李江龙,吴玉树.缝洞型油藏三重介质数值试井模型影响因素[J].西南石油大学学报(自然科学版),2010,32(06):113-120.