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THE FLOW ANALYSIS OF FLUIDS IN FRACTAL RESERVOIR WITH THE FRACTIONAL DERIVATIVE

Journal of Hydrodynamics 2006年第3期18卷 287-293页

作者： TIAN Ji TONG Deng-ke Institute of Mechanics Chinese Academy of ScienceBeijing 100080China gudong petroleum factory of shengli petroleum administration Dongying 256504China Departmentof Applied Mathematics China University of Petroleum Dongying 257061 China

In this paper, fractional order derivative, fractal dimension and spectral dimension are introduced into the seepage flow mechanics to establish the flow models of fluids in fractal reservoirs with the fractional derivative. The flow characteristics of fluids through a fractal reservoir with the fractional order derivative are studied by using the finite integral transform, the discrete Laplace transform of sequential fractional derivatives and the generalized Mittag-Leffler function. Exact solutions are obtained for arbitrary fractional order derivative. The long-time and short-time asymptotic solutions for an infinite formation are also obtained. The pressure transient behavior of fluids flow through an infinite fractal reservoir is studied by using the Stehfest＇s inversion method of the numerical Laplace transform. It shows that the order of the fractional derivative affect the whole pressure behavior, particularly, the effect of pressure behavior of the early-time stage is larger The new type flow model of fluid in fractal reservoir with fractional derivative is provided a new mathematical model for studying the seepage mechanics of fluid in fractal porous media.

关键词： fractional calculus porous media fractal,integral transform exact solution

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Crosslinked Polymer Injection Showing Notable Effectiveness in shengli Oilfields

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China Oil & Gas 1994年第1期1卷 42-42页

作者： $$$$Zhao Shouzeng(Oil production Technology Research Institute, shengli petroleum administration Bureau) Oil Production Technology Research Institute Shengli Petroleum Administration Bureau

After more than half a year of crosslinked polymer inection test, oil production increased notably in western district No.7 of gudong Oil Production Plant, shengli Oilfields. In the test area, through the test daily fluid production increased from 397.9 tons to 434.6 tons and daily oil production increased from 79.6 to 101.3 tons, but comprehensive water cut dropped from 80.6% to 79.6%.

关键词： Polymer Injection Oilfields shengli Notable Showing Crosslinked Effectiveness

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