Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir
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摘要: 将分形引入渗流力学,建立了分形油藏具有松弛特性的粘弹性液体的不稳定渗流模型;利用双参数(df,ds)刻画分形油藏的分形特性,利用四参数(df,ds,λv,λp)描述粘弹性液的广义流动特征;提出了广义的正交变换,并利用Laplace-Weber变换,拉氏-正交变换给出了无限大地层和有界地层的精确解和渐近解;通过拉氏数值反演和渐近解分析了分形油藏粘弹性液体流动特征。探讨了改变分形参数时压力变化规律。Abstract: In this paper,fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non-Newtonian visco-elastic fluids flow in fractal reservoirs.A method to scale the fractal properties of a fractal reservoir by a double parameters(df,ds)and to describe the generalized flow characteristics of visco-elastic fluid by four parameters(df,ds,λv,λp) are presented.Exact solutions and asymptotic solutions have been obtained by using Laplace-Weber and Laplace-orthogonal transforms with both infinite and finite reservoirs.The pressure transient behavior of non-Newtonian visco-elastic fluids flow through a fractal reservoir are studied by using the numerical Laplace transform inversion and asymptotic solutions.The law of pressure change for various fractal parameter is obtained.
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Key words:
- visco-elastic fluids /
- fractal /
- integral transform /
- well test analysis
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[1] Chang J, Yortsos Y C. Pressure transient analysis of fractal reservoir[J]. SPE Formation Evaluation,1990,5(1):31~38. [2] Chakrabarty C S, Farouqoli M, Tortike W S. Transient flow behavior of non-Newtonian power-law fluid in fractal reservoirs[A]. CIM/SPE paper. No. CIM 93-06 1993,In:Annual Technical Meeting of the Petroleum Society of CIM[C]. Calgery, AB,May 9-11,1993. [3] Beier R A. Pressure transient field date showing fractal reservior structure[A]. CIM/SPE paper 90-4,In: the 1990 International Technical Meeting of the SPE[C]. Calgary,AB,June 10-13,1990. [4] Aprilian S, Abdassah D, Mucharan L, et al. Application of fractal reservoir model for interference test analysis in Kamojang geothermal field (indonesia)[Z]. SPE 26465,1993. [5] 栾志安. 稠油油田试井分析[J]. 石油学报,1988,9(2):67~75. [6] 葛家理,栾志安,吴玉树. 裂缝性碳酸盐油气田几种渗流模式及试井理论探讨[A].见:中国石油学会主编. 油田开发论文集[C]. 北京:石油工业出版社,1982,94~106. [7] Stehfest H. Numerical inversion of Laplace transfom[J]. Communication of the ACM,1970,13(1):47~49.
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