Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media

被引：7
作者：
Borazjani, S. [1 ]
Bedrikovetsky, P. [1 ]
Farajzadeh, R. [2 ,3 ]
机构：
[1] Univ Adelaide, Australian Sch Petr, Adelaide, SA 5005, Australia
[2] Shell Global Solut Int, Rijswijk, Netherlands
[3] Delft Univ Technol, NL-2600 AA Delft, Netherlands
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
MULTICOMPONENT CHROMATOGRAPHY; RIEMANN PROBLEM; DISPLACEMENT;
D O I：
10.1155/2014/731567
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Analytical solutions for one-dimensional two-phase multicomponent flows in porous media describe processes of enhanced oil recovery, environmental flows of waste disposal, and contaminant propagation in subterranean reservoirs and water management in aquifers. We derive the exact solution for 3 x 3 hyperbolic system of conservation laws that corresponds to two-phase four-component flow in porous media where sorption of the third component depends on its own concentration in water and also on the fourth component concentration. Using the potential function as an independent variable instead of time allows splitting the initial system to 2 x 2 system for concentrations and one scalar hyperbolic equation for phase saturation, which allows for full integration of non-self-similar problem with wave interactions.
引用
收藏
页数：13
相关论文
共 44 条
[1]  
Alishaeva O.M., 1982, J APPL MECH TECH PHY, V23, P675
[2]  
[Anonymous], 2007, Theory of gas injection processes
[3]  
[Anonymous], 1993, Mathematical Theory of Oil and Gas Recovery
[4]  
[Anonymous], 1977, APPL MATH SCI
[5]  
Barenblatt G.I., 1989, Theory of fluid flows through natural rocks
[6]  
Bedrikovetski P., 2004, P 10 INT C HYP PROBL
[7]  
Bedrikovetsky P., 1982, J FLUID DYNAMICS, V3, P102
[8]  
Bedrikovetsky P.G., 1992, P 3 EUR C MATH OIL R
[9]  
Braginskaya G. S., 1980, Fluid Dynamics, V15, P873, DOI 10.1007/BF01096638
[10]  
Cardoso C. B., 2007, P SPE ANN TECHN C EX, P773
12345