真空下一维可压的非牛顿Ellis模型解的存在唯一性

研究一维有界区间上的非牛顿流体.假设初始条件满足相容性条件,得到了带有Ellis粘性结构的非牛顿流解的存在唯一性.     

基于聚合物驱渗流解的相似结构分析

研究聚合物驱注聚井和采油井井底压力变化对于评价聚合物驱油时储层物性变化具有重要的意义.基于渗流力学基本原理,针对不同的井建立非牛顿-牛顿以及牛顿-非牛顿双区复合油藏试井解释数学模型,利用Laplace积分变换等数学方法获得Laplace空间解析解,根据这两种模型解结构的相似性,采用高斯消元求得不同模型的井底压力,再利用Stehfest数值反演绘制双对数曲线.根据压力导数曲线特征该模型分为五个阶段.幂律指数越大,非牛顿幂律流体径向流阶段压力导数曲线斜率越小.方法可以方便的求解聚合物驱所形成的复合油藏压力解.     

非牛顿幂律流体球向不定常渗流

本文研究了弱压缩非牛顿幂律流体球向不定常渗流,导出了抛物型偏微分非线性方程.球向扩散方程是其特殊情况.用Laplace变换的方法,找到了线性化后方程的解析解和渐近解.用影响半径的概念和平均值方法求得了近似解.渐近解和近似解的结构是相似的,从而丰富了非牛顿流体一维不定常渗流的理论.     

平面非牛顿流体在m＞1时的径向流动

讨论平面非牛顿流体(例如高粘度高含腊量的地下石油)在m>1时的径向流动.作者首先给出了问题的数学模型,它是退缩的自由边值问题.然后得到了该问题的近似问题古典解的存在唯一性.当油井边的压力梯度是常值函数时,该问题古典解的存在唯一性也得到了.     

冠状动脉狭窄情况下的非牛顿血液流动和大分子传质

针对冠状动脉狭窄的情况,采用数值模拟方法求解了牛顿流体与非牛顿流体(幂次律流体和Casson流体)的定常与脉动的流场。在此基础上,求解了LDL(低密度脂肪蛋白)和Albumin(血清白蛋白)的浓度场。根据计算结果,详细讨论了壁面剪应力、非牛顿流效应、分子大小等因素对大分子传质的影响;并对牛顿流体与非牛顿流体、定常流动与脉动流动的大分子浓度场进行了比较,这些结果对于了解动脉硬化成因与流动特性和大分子传质的联系提供了较为丰富的信息。     

二阶非牛顿流体环管流动解析解

本文采用积分变换的方法,找到了一类非牛顿流体在环形管道中不定常流动的解析解,并进行了数值计算,详尽分析了非牛顿性系数和其他各参数对二阶流体不定常流动的影响.指出当二阶流体非牛顿系数相同时,环管流与一般管流相比达到稳定的特征时间较短,并且相应的速度分布、平均速度分布的数值均较小,在外半径相同时,环管流内壁的剪应力较之一般管流,其大小随内半径的大小而变,环管流的外壁剪应力总相应地小于内壁剪应力.     

粘弹性流体在渐缩毛管中渗流规律研究

驱油用聚合物溶液是粘弹性流体,当其在多孔介质中流动时由于拉伸变形会产生额外耗散,因此拉伸压降是不可忽略的.将Binding等人通过机械能平衡原理和最小能量原理建立的非牛顿流体入口收敛流动理论推广应用于渐缩毛管,并以幂指数关系表征剪切粘度与剪切速率关系、第一法向应力差与剪切速率关系、拉伸粘度与拉伸速率关系,从而建立了适用于描述粘弹性流体流动特性的渗流模型,分析了粘弹性流体在渐缩毛管中的渗流规律,利用建立的模型可以准确反映粘弹流体的渗流特性.     

非光滑牛顿算法的收敛性

该文研究了求解包含问题的非光滑牛顿算法的收敛性.运用度量正则性条件,证明了非光滑牛顿算法的一个局部收敛性结果,该结果通过利用非紧性测度,削弱了已有相关结果的假设条件.此外,得到了非光滑牛顿算法的一个全局情形的收敛性结果,即所需条件均假设于算法的初始点而非包含问题的解点.     

可压缩非牛顿流体力学方程组若干问题的研究

首先从可压缩非牛顿流体力学方程组研究的历史背景出发,以可压缩非牛顿流体力学方程组适定性研究为主线,通过介绍作者所在团队最近的相关工作,系统讲述了可压缩非牛顿流体力学方程组若干问题研究的新进展.     

二维分岔槽道内非牛顿流体流动的有限元分析

本文介绍二维分岔槽道内非牛顿流体流动的有限元分析.采用Galerkin法及混合有限元法,流体看作不可压缩的非牛顿流体,满足Oldyord微分型本构方程.由有限元法形成的非线性代数方程组用连续微分法求解.结果表明有限元法适于分析复杂流场中非牛顿流体的流动.     

Some Self-Similar Two-Phase Flows of Non-Newtonian Fluids Through a Porous Medium

Pascal This paper addresses the question of the rheological effects of non-Newtonian fluids in a flow system, in which a two-phase flow zone is coupled to a single-phase flow zone by a moving fluid interface. This flow system is involved in a technique for oil displacement in a porous medium, where a non-Newtonian displacing fluid (a polymer solution) is used to displace a non-Newtonian heavy oil. The self-similar solutions of the equations governing the dynamics of the moving interface, separating the displacing and displaced fluids, are obtained for the one-dimensional and plane radial flows. The effects associated with the presence of a two-phase flow zone, behind the moving interface, on the interface movement are analyzed. The existence of a pressure front ahead of the moving interface, moving with a finite velocity, is also shown. The relevance of this result to the propagation of pressure disturbances in a non-Newtonian fluid flowing through a porous medium is discussed with regard to interpretation of the transient pressure response in an injection well for polymer-solution floods.     

努拉里边底水油气藏提高采收率注采制度优化方法

开发边底水油气藏关键因素是抑制边底水锥进,延长油井无水采油期以提高油藏采收率,因此需要设置合理的开采速度和油水井注采制度.为深入了解不同井网系统和注采参数对边底水油气藏开发效果的影响程度,针对努拉里边底水油气藏开展研究.对边底水影响程度进行研究,得到各井在改变水体倍数后,以含水率差值4％为界限定义受边底水影响程度强弱,...     

An analytical solution for displacements due to reservoir compaction under arbitrary pressure changes

Production of fluids in reservoirs, such as oil, gas and water, leads to changes in the stress and strain fields, generating compaction in the reservoir and subsidence of the ground surface. Some of the severe consequences of these displacements are rock fracture, induced seismicity, fault reactivation, wellbore failure, and reduction in the storage capacity of aquifer systems. Analytic methods based on the nucleus of strain approach with simplifying assumptions can be useful to estimate compaction and subsidence, and to indicate when more detailed analyses are required. However, these methods may present problems by the evaluation of the displacement response inside and in the vicinity of the reservoir due to the presence of singularities in the solution. In this work, an analytical displacement solution is obtained for reservoirs of arbitrary shape in a linear elastic semi-infinite medium under arbitrary distribution of pressure changes. For this, the reservoir is discretized in parallelepiped cells. A three-dimensional integration of the solution is carried out over each cell for an infinitesimal reservoir based on the nucleus of strain approach. The final displacement field is given by the superposition of the solutions of individual cells. The three-dimensional integration eliminates the singularities and allows the evaluation of displacements throughout the entire model, including the reservoir. The solutions presented can be easily implemented in a computational procedure, maintaining the low effort of similar methods. Finite element models are employed to verify the accuracy of the proposed solution.     

On an oil-field contour

The problem of the displacement of the interface between water and oil of an initial form such that a cusp is formed on this interface at a certain instant of time is considered in greater detail than in previous investigations. It is assumed that the viscosity of the water is many time smaller than that of the oil. Problems concerning the displacement of similar lines (under more general assumptions) are briefly reviewed.     

能源数值模拟计算方法的理论和应用

１引言石油是国民经济和社会发展的重要支柱,油田的勘探和开发是发展石油工业的关键．我国开发的油田均进入了二次采油期,大多数已进入注水开发中后期,特别是大庆油田和胜利油田,若继续单纯采用注水开采,产量每年将减少数百万吨．稳定石油产量的唯一方法是采用三次采油新技术,开发尚滞留在地下约５０％以上已探明的储量．若能平均提高３０％的采收率,即相当于再生了同等规模的油田．所谓油藏数值模拟,就是用电子计算机模拟地下油藏十分复杂的化学、物理及流体流动的真实过程,以便选出最佳的开采方案,监控措施．对于三次采油新技术…     

The statistical characteristics of the displacement front in a randomly heterogeneous medium

The problem of the displacement of oil by water in a randomly hetrogeneous medium with specified statistical characteristics is considered. Using an improved perturbation theory within the framework of the Buckley – Leverret two-phase model, a statistical solution is constructed which enables the average shape of the displacement front to be obtained, and also the variance of the saturation and the longitudinal velocities on the displacement front, together with a variogram of the fluctuations of the front shape.     

Variational formulation of the problem of retained viscoplastic oil

A variational formulation is given for the problem of determining the limiting equilibrium of retained viscoplastic oil during its displacement with water from a stratified bed. It is shown that the basic approximation of the formulation admitting of an effective solution by the methods of the plane problem of non-linear filtering /1–5/ follows naturally from the variational formulation proposed, provided that the class of functions in which the solution is sought is restricted. Some estimates of the volume of the bed from which the oil is displaced are obtained on the basis of the variational formulation.     

New bounds for stabilizing Hele–Shaw flows

We consider the problem of displacement processes in a three-layer fluid in a Hele–Shaw cell modeling enhanced processes of oil recovery by polymer flooding. The middle layer sandwiched between water and oil contains polymer-thickened water. We provide lower bounds on the length of the intermediate layer and on the amount of polymer in the middle layer for stabilizing the leading front to a specified level. We also provide an upper bound on the growth rate of instabilities for a given viscous profile of the middle layer.     

Heat transfer to power-law fluids in thermal entrance region with viscous dissipation for constant heat flux conditions

An analytical solution of the heat transfer problem with viscous dissipation for non-Newtonian fluids with power-law model in the thermal entrance region of a circular pipe and two parallel plates under constant heat flux conditions is obtained using eigenvalue approach by suitably replacing one of the boundary conditions by total energy balance equation. Analytical expressions for the wall and the bulk temperatures and the local Nusselt number are presented. The results are in close agreement with those obtained by implicit finite-difference scheme. It is found that the role of viscous dissipation on heat transfer is completely different for heating and cooling conditions at the wall. The results for the case of cooling at the wall are of interest in the design of the oil pipe line.     

稠油油藏高温盐析调剖的孔渗表征方法研究

深层高温油藏在开采过程中,由于近井地带压力变化剧烈,地层水蒸发致使结晶盐析出,进而导致储层孔隙度、渗透率降低.为研究稠油油藏高温盐析调剖的孔渗变化规律,根据盐类溶解/沉淀原理及储层孔隙度渗透率关系和填砂管模型高温盐析实验结果,建立了考虑地层水蒸发、水中氯化钠析出和储层孔渗变化的综合盐析模型.研究结果表明:随着堵剂注入量...