检索结果-南通市图书馆

GALERKIN METHOD FOR COMPLETELY COMPRESSIBLE DISPLACEMENT WITH MOLECULAR DIFFUSION AND DISPERSION

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 1998年第1期13卷 59-67页

作者： cheng aijie Department of Mathematics Shandong University Jinan

In this paper, the numerical approximation by Galerkin method for completely compressible miscible displacement with molecular diffusion and dispersion in porous media is considered. Continuous time procedure is introduced and analysed. Some new techniques are applied to the analysis. Optimal error estimates in L ∞(J;H 1(Ω)) are proved, which implies an essential improvement to existed results. MR Subject Classification: 65N15,65N30.

关键词： Compressible displacement molecular dispersion Galerkin method.

Theory and application of numerical simulation method of capillary force enhanced oil production

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2015年第3期36卷 379-400页

作者： Yirang YUAN aijie cheng Danping YANG Changfeng LI Yunxin LIU Institute of Mathematics Shandong University

A kind of second-order implicit upwind fractional step finite difference methods are presented for the numerical simulation of coupled systems for enhanced （chemical） oil production with capillary force in the porous media. Some techniques, e.g., the calculus of variations, the energy analysis method, the commutativity of the products of difference operators, the decomposition of high-order difference operators, and the theory of a priori estimate, are introduced. An optimal order error estimate in the l2 norm is derived. The method is successfully used in the numerical simulation of the enhanced oil production in actual oilfields. The simulation results are satisfactory and interesting.

关键词： enhanced (chemical) oil production system on consideration ference optimal order l2 capillary force second-order three-dimensional porous coupled implicit upwind fractional step difestimate application in actual oilfield

AConservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

在线全文

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2022年第6期14卷 1246-1275页

作者： Changfeng Li Yirang Yuan aijie cheng Huailing Song School of Economics Shandong UniversityJinanShandong 250100China Institute of Mathematics Shandong UniversityJinanShandong 250100China College of Mathematics and Econometrics Hunan UniversityChangshaHunan 410082China

A kind of conservative upwind method is discussed for chemical oil recovery displacement in porous *** mathematical model is formulated by a nonlinear convection-diffusion system dependent on the pressure,Darcy velocity,concentration and *** flow equation is solved by a conservative block-centered method,and the pressure and Darcy velocity are obtained at the same *** concentration and saturations are determined by convection-dominated diffusion equations,so an upwind approximation is adopted to eliminate numerical dispersion and nonphysical ***-centered method is conservative *** upwind method with block-centered difference is used for computing the *** saturations of different components are solved by the method of upwind fractional step difference,and the computational work is shortened significantly by dividing a three-dimensional problem into three successive one-dimensional problems and using the method of *** the variation discussion,energy estimates,the method of duality,and the theory of a priori estimates,we complete numerical ***,numerical tests are given for showing the computational accuracy,efficiency and practicability of our approach.

关键词： Chemical oil recovery upwind block-centered difference fractional step difference elemental conservation convergence analysis.

带溶质吸附的混溶驱动问题的Galerkin方法

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

计算数学 1999年第1期21卷 45-58页

作者：程爱杰山东大学

A priori error estimates for Galerkin method for numerical approximation ofthe coupled quasilinear system for c = c(x, t), p = p(x, t), cr = c.(x, t) given byfor x E fl,t E (O,T] are considered. Equations of this type arise in model forthe miscible displacement of one compressible fiuid by another with adsorption ofor orsolute in a porous medium. The cofficient D, which is a function of x, c, X -reflects moleculer diffusion and dispersion. Colltinuous-time Galerkin procedureis analysed. A new technique is illtroduced to establish the evolution inequlity oferror. The optimal error estimates in Lco(J; H1(Ω)) are presented.

关键词：溶质吸附 Galerkin方法混溶驱动三次采油

含弥散平面两相渗流驱动问题有限元方法的误差分析

在线全文

学校读者我要写书评

暂无评论

系统科学与数学 1999年第4期19卷 478-483页

作者：程爱杰山东大学数学系济南250100

研究了平面两相渗流可压缩问题含弥散情形的矩形有限元格式．引进一类插值算子，通过插值函数证明了有限元解的最优误差估计．

关键词：可压缩渗流问题误差分析驱动问题有限元

Theory and Application of Numerical Simulation of Chemical Flooding in High Temperature and High Salt Reservoirs

在线全文

学校读者我要写书评

暂无评论

International Journal of Geosciences 2014年第9期5卷 956-970页

作者： Yirang Yuan aijie cheng Danping Yang Changfeng Li Institute of Mathematics Shandong University Jinan China

Applications, theoretical analysis and numerical methods are introduced for the simulation of mechanical models and principles of the porous flow in high temperature, high salt, complicated geology and large-scale reservoirs in this paper. Considering petroleum geology, geochemistry, computational permeation fluid mechanics and computer technology, we state the models of permeation fluid mechanics and put forward a sequence of implicit upwind difference iteration schemes based on refined fractional steps of the upstream, which can compute the pressures, the saturation and the concentrations of different chemistry components. A type of software applicable in major industries has been completed and carried out in numerical analysis and simulations of oil extraction in Shengli Oil-field, which brings huge economic benefits and social benefits. This software gives many characters: spatial steps are taken as ten meters, the number of nodes is up to hundreds of thousands and simulation time period can be tens of years and the high-order accuracy can be promised in numerical data. Precise analysis is present for simplified models of this type and that provides a tool to solve the international famous problem.

关键词： High Temperature and High Salt Complicated Chemical Flooding Computational Permeation Fluid Mechanics Numerical Method and Engineering Software Actual Application of Oil-Fields Theoretical Analysis

多孔介质中两相不可压缩可混溶驱动问题的动态混合元方法及其特征修正格式

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

系统科学与数学 2005年第1期25卷 118-128页

作者：刘保东程爱杰鲁统超山东大学数学与系统科学学院济南250100

许多依赖时间的问题涉及到局部化现象,如突出的前沿位置、激波、边界层等, 其位置随时间而变动.多孔介质中两相不可压缩可混溶驱动问题是一典型的、有代表性的"局部化现象"问题,其数学模型为耦合非线性偏微分方程组的初边值问题.为减轻... 详细信息

许多依赖时间的问题涉及到局部化现象,如突出的前沿位置、激波、边界层等, 其位置随时间而变动.多孔介质中两相不可压缩可混溶驱动问题是一典型的、有代表性的"局部化现象"问题,其数学模型为耦合非线性偏微分方程组的初边值问题.为减轻数值解在局部前沿位置的数值振荡,提高解的精确性,本文给出了该问题的动态混合元格式和沿特征线修正的动态混合元格式,证明了其收敛性,并给出了误差估计.

关键词：不可压缩非线性偏微分方程组初边值问题局部化收敛性误差估计前沿动态变动特征

三维强化采油渗流耦合系统隐式迎风分数步差分方法的收敛性分析

在线全文

学校读者我要写书评

暂无评论

中国科学：数学 2014年第10期44卷 1035-1058页

作者：袁益让程爱杰羊丹平李长峰山东大学数学研究所济南250100

对强化(化学)采油数值模拟中的渗流耦合系统问题,本文提出隐式迎风分数步差分格式,利用变分形式、能量方法、差分算子乘积交换性理论、高阶差分算子的分解、微分方程先验估计的理论和技巧,得到最佳阶l2模误差估计.该方法已成功应用到强... 详细信息

对强化(化学)采油数值模拟中的渗流耦合系统问题,本文提出隐式迎风分数步差分格式,利用变分形式、能量方法、差分算子乘积交换性理论、高阶差分算子的分解、微分方程先验估计的理论和技巧,得到最佳阶l2模误差估计.该方法已成功应用到强化采油数值模拟的生产实践中,并且得到了很好的数值模拟效果.

关键词：强化(化学)采油三维渗流耦合系统隐式迎风分数步差分最佳阶l2估计能源数值模拟

在线全文

学校读者我要写书评

暂无评论

可压缩可混溶驱动问题的有限元方法

山东大学学报（自然科学版） 1992年第2期27卷 168-179页

作者：程爱杰山东大学数学系

多孔介质中渗流驱动问题的研究对许多工程技术领域如地下石油开采有重要意义,用现代计算方法和技术对流体流动模型进行数值模拟对采油的诸多方面如井位选择、注水量、生产量均有指导或参考价值。本文导出了多孔介质中二相完全可压缩渗... 详细信息

多孔介质中渗流驱动问题的研究对许多工程技术领域如地下石油开采有重要意义,用现代计算方法和技术对流体流动模型进行数值模拟对采油的诸多方面如井位选择、注水量、生产量均有指导或参考价值。本文导出了多孔介质中二相完全可压缩渗流数学模型,它与不可压缩或微可压缩情况比已有重要变化;提出并分析了一类Galerkin全离散格式,得到了最优L^2的误差估计。

关键词：可压缩驱动有限元法渗流