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THE APPROXIMATE ANALYTICAL SOLUTIONS OF PARABOLIC DIFFERENTIAL EQUATIONS FOR A FINITE-CONDUCTIVITY VERTICAL FRACTURE IN A RESERVOIR WITH DOUBLE-POROSITY:NON-NEWTONIAN POWER-LAW FLUIDS 被引量:2

THE APPROXIMATE ANALYTICAL SOLUTIONS OF PARABOLIC DIFFERENTIAL EQUATIONS FOR A FINITE-CONDUCTIVITY VERTICAL FRACTURE IN A RESERVOIR WITH DOUBLE-POROSITY:NON-NEWTONIAN POWER-LAW FLUIDS
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摘要 By using the concept of disturbed extent for elliptical flow and the weighted average method,this paper pre- sents the approximate analytical solutions of transient pressure of Non-Newtonian Power-Law fluids for a finite- conductivity vertical fracture in a reservoir with double-porosity.The log-log diagnosis graph of the pressures cal- culated by approximate formulae may be divided into an early hi-linear flow stage i.e.the dimensionless well pres- sure difference p_(WD)is proportional to dimensionless time t_D^(1/4);an interporosity-flow stage and a late pseudo-radial flow stage i.e.P_(WD)proportional to t(1-n)/(-n).The agreements between the presented solutions for special case and the is- sued works are good.The structure and meaning of the approximate formulae for vertically fractured well test in reservoir with double-porosity is simple and obvious. By using the concept of disturbed extent for elliptical flow and the weighted average method,this paper pre- sents the approximate analytical solutions of transient pressure of Non-Newtonian Power-Law fluids for a finite- conductivity vertical fracture in a reservoir with double-porosity.The log-log diagnosis graph of the pressures cal- culated by approximate formulae may be divided into an early hi-linear flow stage i.e.the dimensionless well pres- sure difference p_(WD)is proportional to dimensionless time t_D^(1/4);an interporosity-flow stage and a late pseudo-radial flow stage i.e.P_(WD)proportional to t(1-n)/(-n).The agreements between the presented solutions for special case and the is- sued works are good.The structure and meaning of the approximate formulae for vertically fractured well test in reservoir with double-porosity is simple and obvious.
出处 《Journal of Hydrodynamics》 SCIE EI CSCD 1991年第4期61-65,共5页 水动力学研究与进展B辑(英文版)
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