RESEARCH ON AMSAA-BISE MODEL—AN ANSWER TO MEI MEN-HUA

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎＭＥＩＷｅｎ＿ｈｕａ’ｓｐａｐｅｒ [1 ] ,ａｃｏｍｍｅｎｔｏｎＡＭＳＡＡ＿ＢＩＳＥｍｏｄｅｌｐｒｏｐｏｓｅｄｂｙａｕｔｈｏｒｅｔａｌ.(ｃｆ[2 ] )ｉｓｇｉｖｅｎ ,ａｎｄａｎａｐｐｒｏｘｉｍａｔｅｍｏｄｅｌａｔｔｅｍｐｔｉｎｇｔｏｓｏｌｖｅｔｈｉｓｐｒｏｂｌｅｍｉｓｐｒｅｓｅｎｔｅｄ .ＴｈｅＡＭＳＡＡ＿ＢＩＳＥｍｏｄｅｌｉｓｄｅｒｉｖｅｄｄｉｒｅｃｔｌｙｆｒｏｍａｎｏｔｈｅｒａｐｐｒｏａｃｈｔｈａｔｉｓｄｉｆｆｅｒｅｎｔｆｒｏｍｔｈｅａｐｐｒｏａｃｈｅｓｏｆ[2 ]ａｎｄ [3 ]…     

PRELIMINARY ANALYSIS OF SKATING MOTION

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｌｅｉｇｈｐｒｏｂｌｅｍｉｓａｃｌａｓｓｉｃｏｎｅｉｎｎｏｎｈｏｌｏｎｏｍｉｃｄｙｎａｍｉｃｓ.ＴｈｅｓｏｌｕｔｉｏｎｓｔｏｔｈｅｐｒｏｂｌｅｍｗｅｒｅｏｂｔａｉｎｅｄｂｙС .А .Чаплыгин( 1 898)ａｎｄＣ .Ｃａｒａｔｈｏｄｏｒｙ( 1 93 3 ) [1].Ｔｈｅｒｅｆｅｒｅｎｃｅ [2 ]ｐｒｅｓｅｎｔｅｄａｆｅｗｑｕｅｓｔｉｏｎａｂｌｅｐｏｉｎｔｓｉｎｔｈｅｓｏｌｕｔｉｏｎｓ .Ａｎｏｔｈｅｒｓｏｌｕｔｉｏｎｗａｓｏｆｆｅｒｅｄｉｎｔｈｅｒｅｆｅｒｅｎｃｅ[3 ] .Ｂｕｔｔｈｅ…     

THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA

1　ＴｈｅＦｌｏｗＭｏｄｅｌｏｆＰｏｗｅｒ＿ＬａｗＦｌｕｉｄｉｎＲａｄｉｃａｌＦｒａｃｔａｌＲｅｓｅｒｖｏｉｒＴｈｅｔｒａｎｓｉｅｎｔｆｌｏｗｏｆｐｏｗｅｒ＿ｌａｗｆｌｕｉｄｉｎｒａｄｉｃａｌｆｒａｃｔａｌｒｅｓｅｒｖｏｉｒｉｓｓｔｕｄｉｅｄｉｎＲｅｆ.[1 ] ,ａｎｄａｎａｌｙｔｉｃａｌｓｏｌｕｔｉｏｎｏｆＬａｐｌａｃｅｓｐａｃｅｉｓｄｅｒｉｖｅｄ .ＩｎＲｅｆ.[2 ] ,ｔｈｅｔｒａｎｓｉｅｎｔｅｌｌｉｐｔｉｃａｌｆｌｏｗｉｓｒｅｓｅａｒｃｈｅｄｏｎｍｏｄｅｌｏｆｅｘｐａｎｄｉｎｇｒｅｃｔａｎｇｌｅ .Ｔ…     

THE DIMENSION OF SPLINE SPACE S_3~1(△) ON A TYPE OF TRIANGULATION

ＩｎｔｒｏｄｕｃｔｉｏｎＷｈｅｔｈｅｒｔｈｅｄｉｍｅｎｓｉｏｎｏｆｓｐｌｉｎｅｓｐａｃｅＳ13(△ )ｄｅｐｅｎｄｓｏｎｔｈｅｇｅｏｍｅｔｒｉｃａｌｃｈａｒａｃｔｅｒｏｆｔｒｉａｎｇｕｌａｔｉｏｎｈａｓｎｏｔｂｅｅｎｓｏｌｖｅｄ[1].Ｉｎｐａｐｅｒ [2 ] ,ｔｈｅｓｔｒａｔｉｆｉｅｄｔｒｉａｎｇｕｌａｔｉｏｎｏｎｗｈｉｃｈｔｈｅｄｉｍｅｎｓｉｏｎｏｆＳ13(△ )ｄｏｅｓｎｏｔｄｅｐｅｎｄｏｎｔｈｅｇｅｏｍｅｔｒｉｃａｌｃｈａｒａｃｔｅｒｏｆｔｒｉａｎｇｕｌａｔｉｏｎｉｓｐｒｅｓｅｎｔｅｄ .Ｗｅａｎａｌｙｚｅ…     

F E M analysis of delamination buckling in composite plates and shells

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｐｒｏｂｌｅｍｏｆｄｅｌａｍｉｎａｔｉｏｎｂｕｃｋｌｉｎｇｏｆｃｏｍｐｏｓｉｔｅｌａｍｉｎａｔｅｓｈａｓｇｅｎｅｒａｔｅｄｓｉｇｎｉｆｉｃａｎｔｒｅｓｅａｒｃｈｉｎｔｅｒｅｓｔｓａｎｄｈａｓｂｅｅｎｔｈｅｓｕｂｊｅｃｔｏｆｍａｎｙｔｈｅｏｒｅｔｉｃａｌｉｎｖｅｓｔｉｇａｔｉｏｎｓｉｎｔｈｉｓｄｅｃａｄｅ.Ａｆｉｎｉｔｅｅｌｅｍｅｎｔｍｏｄｅｌ[1]ｗａｓｐｒｅｓｅｎｔｅｄｔｏｓｏｌｖｅｔｈｅｐｏｓｔ＿ｂｕｃｋｌｉｎｇｐｒｏｂｌｅｍｏｆｃｏｍｐｏｓｉｔｅｐｌａｔｅｓｗｉｔ…     

Sensitivity coefficients of single-phase flow in low-permeability heterogeneous reservoirs

ＩｎｔｒｏｄｕｃｔｉｏｎＳｅｎｓｉｔｉｖｉｔｙｃｏｅｆｆｉｃｉｅｎｔｓｅｘｐｒｅｓｓｔｈｅｃｈａｎｇｅｒａｔｅｏｆｏｂｓｅｒｖａｔｉｏｎｄａｔａｏｎｍｏｄｅｌｐａｒａｍｅｔｅｒｓ,ａｎｄｒｅｐｒｅｓｅｎｔｓｅｎｓｉｔｉｖｉｔｙｄｅｇｒｅｅｏｆｅｓｔｉｍａｔｅｄｐａｒａｍｅｔｅｒｓｏｎｍｏｄｅｌ.Ｉｔｉｓｉｍｐｏｒｔａｎｔｔｏｃａｌｃｕｌａｔｅｔｈｅｍｉｎｒｅｓｅｒｖｏｉｒｄｅｓｃｒｉｐｔｉｏｎｓ.ＪａｃｑｕａｒｄａｎｄＪｉａｎ[1]ｐｒｅｓｅｎｔｅｄｔｈｅｆｉｒｓｔｐｒｏｃｅｄｕｒｅｏｆｎｕｍｅｒｉｃ…     

SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM

ＩｎｔｒｏｄｕｃｔｉｏｎＦｅｒｍｉ,ＰａｓｔａａｎｄＵｌａｍ[1]ｐｒｅｓｅｎｔｅｄａｗｅｌｌ＿ｋｎｏｗｎｐｒｏｂｌｅｍｗｈｙｓｏｌｉｄｓｈａｄｆｉｎｉｔｅｈｅａｔｃｏｎｄｕｃｔｉｖｉｔｙ ,ｗｈｉｃｈｗａｓｃａｌｌｅｄｔｈｅＦｅｒｍｉ＿Ｐａｓｔａ＿Ｕｌａｍ(ＦＰＵ)ｐｒｏｂｌｅｍ .Ｔｈｅｓｏｌｉｄｉｓｍｏｄｅｌｌｅｄｂｙａｏｎｅ＿ｄｉｍｅｎｓｉｏｎａｌｌａｔｔｉｃｅ ,ａｓｅｔｏｆｍａｓｓｅｓｃｏｕｐｌｅｄｂｙｓｔｒｉｎｇ .Ｔｈｅｅｑｕａｔｉｏｎｓｇｏｖｅｒｎｉｎｇｔｈｅｄｙｎａｍｉｃｓｏｆｔｈｉｓｌａ…     

Nonlinear Dynamics Modeling of Mechanical Periodicity of End Diastolic Volume of Left Ventricle

ＮｏｍｅｎｃｌａｔｕｒｅＸｎ 1 ＴｈｅＥＤＶｏｆｔｈｅ (ｎ 1 )ｔｈｈｅａｒｔｂｅａｔＸｎ 　ＴｈｅＥＤＶｏｆｔｈｅｎｔｈｈｅａｒｔｂｅａｔＹｎ 　ＴｈｅｅｊｅｃｔｖｏｌｕｍｅｏｆｔｈｅｎｔｈｈｅａｒｔｂｅａｔＵｎ 　ＴｈｅｍａｓｓｏｆｔｈｅｂｌｏｏｄｔｈｒｏｕｇｈｖｅｉｎｔｏｈｅａｒｔＰｓ 　ＴｈｅｓｙｓｔｏｌｉｃｐｒｅｓｓｕｒｅｏｆｌｅｆｔｖｅｎｔｒｉｃｌｅＰｄ 　ＴｈｅｄｉａｓｔｏｌｉｃｐｒｅｓｓｕｒｅｏｆｌｅｆｔｖｅｎｔｒｉｃｌｅＰｖ 　ＴｈｅｐｒｅｓｓｕｒｅＰａ 　Ｔｈｅａｒｔｅｒｉａｌｐｒｅｓ…     

KINEMATIC WAVE PROPERTIES OF ANISOTROPIC DYNAMICS MODEL FOR TRAFFIC FLOW

ＩｎｔｒｏｄｕｃｔｉｏｎＲｅｃｅｎｔｌｙｔｈｅａｕｔｈｏｒｓｐｒｅｓｅｎｔｅｄａｎｅｗｄｙｎａｍｉｃｓｍｏｄｅｌｆｏｒｔｒａｆｆｉｃｆｌｏｗ[1].Ｔｈｅｍｏｄｅｌｃｏｍｐｒｉｓｅｓａｃｏｎｔｉｎｕｕｍｅｑｕａｔｉｏｎａｎｄａｄｙｎａｍｉｃｓｅｑｕａｔｉｏｎ ｋ/ ｔ+ (ｋｕ) / ｘ=0 ,( 1 ) ｕ ｔ+ｕ ｕ ｘ=ｕｅ(ｋ) -ｕＴ +ａ ｕ ｘ,( 2 )ｗｈｅｒｅｋｉｓｔｒａｆｆｉｃｄｅｎｓｉｔｙ ;ｕｉｓｍｅａｎｓｐｅｅｄ ;ｘ ,ｔａｒｅｓｐａｃｅａｎｄｔｉｍｅｃｏｏｒｄｉｎａｔｅｓｒｅｓｐｅｃｔｉｖｅｌｙ .Ｔｉｓｒｅｌ…     

A Computational Method for Interval Mixed Variable Energy Matrices in Precise Integration

1　ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＰｒｏｂｌｅｍＴｈｅｓｏｌｕｔｉｏｎｏｆｔｈｅＲｉｃｃａｔｉｅｑｕａｔｉｏｎｉｓｏｎｅｏｆｔｈｅｋｅｙｓｔｅｐｓｉｎｔｈｅｐｒｏｃｅｓｓｏｆｏｐｔｉｍａｌｃｏｎｔｒｏｌ.Ｂａｓｅｄｏｎｔｈｅｏｒｉｅｓｏｆｓｔｒｕｃｔｕｒａｌｍｅｃｈａｎｉｃｓａｎｄｏｐｔｉｍａｌｃｏｎｔｒｏｌ,ｐｒｅｃｉｓｅｉｎｔｅｇｒａｔｉｏｎｍｅｔｈｏｄｗａｓｄｅｖｅｌｏｐｅｄａｎｄｃａｎｂｅｕｓｅｄｔｏｓｏｌｖｅｔｈｅＲｉｃｃａｔｉｅｑｕａｔｉｏｎａｎｄａｌｇｅｂｒａｉｃｅｑｕａｔｉｏｎａｃ…     

The Transient Flow Analysis of Fluid in a Fractal, Double-Porosity Reservoir

The mathematical model for transient fluid flow in porous media is based in general on mass conservation principle. Because of the small compressibility of formation fluid, the quadratic term of pressure gradient is always ignored to linearize the non-linear diffusion equation. This may result in significant errors in model prediction, especially at large time scale. In order to solve this problem, it may be necessary to keep the quadratic term in the non-linear equations. In our study, the quadratic term is reserved to fully describe the transient fluid flow. Based on this rigorous treatment, the mathematical models are established to analyze the transient flow behavior in a double porosity, fractal reservoir with spherical and cylindrical matrix. In addition, Laplace transformation method is employed to solve these mathematical models and the type curves are provided to analyze the pressure transient characteristics. This study indicates that the relative errors in calculated pressure caused by ignoring the quadratic term may amount to 10?% in a fractal reservoir with double porosity, which can??t be neglected in general for fractal reservoirs with double porosity at large time scale.     

考虑二次梯度项及动边界的双重介质低渗透油藏流动分析

在传统试井模型的非线性偏微分方程中根据弱可压缩流体的假设,忽略了二次梯度项,对于低渗透油藏这种方法是有疑问的.低渗透问题一个显著的特点就是流体的流动边界随着时间不断向外扩展.为了更好地研究双重介质低渗透油藏中流体的流动问题,考虑了二次梯度项及活动边界的影响,同时考虑了低渗透油藏的非达西渗流特征,建立了双重介质低渗透油藏流动模型.采用Douglas-Jones预估-校正差分方法获得了无限大地层定产量生产时模型的数值解,分别讨论了不同参数变化时压力的变化规律及活动边界随时间的传播规律,还分析了考虑和忽略二次梯度项影响时模型数值解之间的差异随时间的变化规律,做出了典型压力曲线图版,这些结果可用于实际试井分析.     

分形油藏不稳定渗流问题的精确解

研究了分形油藏无限大地层和有界地层渗流模型，引入了一类有限广义Ｈａｎｋｅｌ变换，利用这种变换和Ｗｅｂｅｒ变换，在井底定流量和定压生产时，对无限大地层及有界地层（包括封闭和定压地层）六种情况，求得了实空间解析解用双参数（ｄｆ，ｄｓ）来刻画分形油藏的分形特性，分析了分形油藏压力动态特征以及分形参数和边界对压力动态的影响     

Generalized flow analysis of non-Newtonian visco-elastic fluid flow through fractal reservoir

Ｆｒａｃｔａｌｇｅｏｍｅｔｒｙｉｓａｐｏｗｅｒｆｕｌｔｏｏｌｔｏｄｅｓｃｒｉｂｅｃｏｍｐｌｅｘｐｈｅｎｏｍｅｎｏｎ．Ｅｓｐｅｃｉａｌｌｙｉｔｉｓａｐｐｒｏｐｒｉａｔｅｔｏｓｃａｌｅｔｈｅｎｏｎｕｎｉｆｏｒｍｉｔｙａｎｄｎｏｎｓｅｑｕｅｎｃｅｏｆｐｏｒｏｕｓｍｅｄｉａ．Ｉｆｔｈｅｍｅｃｈａｎｉｃｓｏｆｆｌｕｉｄｆｌｏｗｔｈｒｏｕｇｈｐｏｒｏｕｓｍｅｄｉａｉｓｓｔｕｄｉｅｄｂｙｕｓｉｎｇｆｒａｃｔａｌ,ｔｈｅｄｉｓｃｅｒｎｉｂｌｅａｎｄｃｏｇｎｉｔｉｖｅａｂｉｌｉｔｙｆｏｒｐｏｒｏｕｓｍｅｄｉａａｎ…     

幂律流体在多孔介质中径向渗流的分形模型

基于分形理论及毛细管模型,本文研究了非牛顿幂律流体在各向同性多孔介质中径向流动问题,推导了幂律流体径向有效渗透率的分形解析表达式．研究结果表明,幂律流体径向有效无量纲渗透率模型和Chang and Yortsos’s模型吻合很好;同时还得出幂律流体径向有效渗透率随孔隙率、幂指数的增加而增加,随迂曲度分形维数的增加而减少．     

分形理论在煤层气非平衡吸附模型中的应用

传统的煤层气动力学模型均是建立在欧几里得几何基础上的,难以描述煤层孔隙结构的复杂性及形状的不规则性。本文以分形理论为基础,通过引入分形维数来刻画煤层孔隙结构的复杂性并考虑煤层的吸附特性、双重介质特征及介质的变形,建立基于Fick第二定律的分形介质煤层气非稳态渗流数学模型。由于流动方程的强非线性,结合各类边界条件用正则摄动法和Laplace变换得到模型在拉氏空间上的近似解析解,再利用Laplace数值反演求得实空间上的数值解。对参数进行敏感性分析并绘制了典型压力曲线,这些结果为煤层气开采提供了理论依据和试井方法。     

Flow Modeling of Well Test Analysis for Porous–Vuggy Carbonate Reservoirs

Porous–vuggy carbonate reservoirs consist of both matrix and vug systems. This paper represents the first study of flow issues within a porous–vuggy carbonate reservoir that does not introduce a fracture system. The physical properties of matrix and vug systems are quite different in that vugs are dispersed throughout a reservoir. Assuming spherical vugs, symmetrically distributed pressure, centrifugal flow of fluids and considering media that is directly connected with wellbore as the matrix system, we established and solved a model of well testing and rate decline analysis for porous–vuggy carbonate reservoirs, which consists of a dual porosity flow behavior. Standard log–log type curves are drawn up by numerical simulation and the characteristics of type curves are analyzed thoroughly. Numerical simulations showed that concave type curves are dominated by interporosity flow factor, external boundary conditions, and are the typical response of porous–vuggy carbonate reservoirs. Field data interpretation from Tahe oilfield of China were successfully made and some useful reservoir parameters (e.g., permeability and interporosity flow factor) are obtained from well test interpretation.     

变形双重介质广义流动分析

对于碳酸盐油藏和低渗油藏的渗流问题，传统的研究方法都是假设地层渗透率是常数，这假设，对于地层渗透率是压力敏感的情况，对压力的空间变化和瞬时变化将导致较大的误差。本文研究了应力敏感地层中双重介质渗流问题的压力不稳定响应，不仅考虑了储层的双重介质特征，而且考虑了应力敏感地层中介质的变形，建立了应力敏感地层双重介质的数学模型，渗透率依赖于孔隙压力变化的流动方程是强非线性的，采用Douglas-Jones预估－校正法获得了只有裂缝发生形变定产量生产时无限大地层的数值解及定产量生产岩块与裂隙同时发生形变时无限大地层的数值解，并探讨了变形参数和双重介质参数变化时压力的变化规律，给出几种情况下典型压力曲线图版，这些结果可用于实际试井分析。     

分形煤层气藏数值模拟研究——Douglas-Jones预估-校正法的应用

传统的煤层气动力学模型多建立在欧几里得基础上,难以描述煤层气孔隙结构的复杂性和形状的不规则性。为此,以分形理论为基础,通过引入煤层基质和裂缝的分形维数来刻画煤层气孔隙结构的复杂性和吸附特性,建立了双重分形介质渗流模型,采用Douglas-Jones预估-校正法对非线性方程组进行离散,获得了无限大地层和有限地层定产量生产时拟稳态吸附模型的差分方程,求得数值解。结果表明,Douglas-Jones预估-校正法可以有效解决这类非线性模型的求解问题,获得无限大地层定产量生产时变形双重分形介质模型的数值解;分析各种分形参数下的煤层压力动态,做出了典型压力曲线图。对无限大地层,初期分形维数对压力影响不大,后期分形维数越小,压力越高。对有限地层,初期分形维数的影响明显,且分形维数越大,压力越低。压力随分形指数的减小量呈现先增大后减小的趋势,在末期压力平稳趋向同一值。     

Stable Propagation of Saturation Overshoots for Two-Phase Flow in Porous Media

Propagation of saturation overshoots for two-phase flow of immiscible and incompressible fluids in porous media is analyzed using different computational methods. In particular, it is investigated under which conditions a given saturation overshoot remains stable while moving through a porous medium. Two standard formulations are employed in this investigation, a fractional flow formulation and a pressure–saturation formulation. Neumann boundary conditions for pressure are shown to emulate flux boundary conditions in homogeneous media. Gravity driven flows with Dirichlet boundary conditions for pressure that model infiltration into heterogeneous media with position-dependent permeability are found to exhibit pronounced saturation overshoots very similar to those seen in experiment.