Mathematical Model of Multiphase Flow through Porous Media

2010 ◽  
pp. 29-41
Author(s):  
Subhendu Bikash Hazra
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Multiphase Flow ◽  
Flow Through Porous Media ◽  
Flow Through

Dynamic imaging of multiphase flow through porous media using 4D cumulative reconstruction

2018 ◽  
Vol 272 (1) ◽  
pp. 12-24
Author(s):  
M.N. D'EURYDICE ◽  
C.H. ARNS ◽  
J.-Y. ARNS ◽  
R.T. ARMSTRONG
Keyword(s):  
Porous Media ◽  
Multiphase Flow ◽  
Dynamic Imaging ◽  
Flow Through Porous Media ◽  
Flow Through

scholarly journals An Explicit Algorithm for the Simulation of Fluid Flow through Porous Media

2018 ◽  
Vol 173 ◽  
pp. 06012 ◽  
Author(s):  
Marina Trapeznikova ◽  
Natalia Churbanova ◽  
Anastasiya Lyupa
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Porous Media ◽  
System Of Equations ◽  
Heat Sources ◽  
Flow Through Porous Media ◽  
Multicomponent Fluid ◽  
Medium Flow ◽  
Flow Through ◽  
Porous Medium Flow

The work deals with the development of an original mathematical model of porous medium flow constructed by analogy with the quasigasdynamic system of equations and allowing implementation via explicit numerical methods. The model is generalized to the case of multiphase multicomponent fluid and takes into account possible heat sources. The proposed approach is verified by a number of test predictions.

Solid-fluid interfacial area measurement for wettability quantification in multiphase flow through porous media

2021 ◽  
Vol 231 ◽  
pp. 116250
Author(s):  
Deepshikha Singh ◽  
Shantanu Roy ◽  
Harish Jagat Pant ◽  
Jyoti Phirani
Keyword(s):  
Porous Media ◽  
Multiphase Flow ◽  
Interfacial Area ◽  
Area Measurement ◽  
Flow Through Porous Media ◽  
Flow Through

Effect of Fractional Wettability on Multiphase Flow Through Porous Media

1959 ◽  
Vol 11 (10) ◽  
pp. 71-76 ◽  
Author(s):  
Irving Fatt ◽  
Waldemar A. Klikoff
Keyword(s):  
Porous Media ◽  
Multiphase Flow ◽  
Flow Through Porous Media ◽  
Flow Through

scholarly journals Mathematical modeling and numerical simulation of porous media single-phase fluid flow problem: a scientific review

2020 ◽  
Vol 6 (4) ◽  
pp. 15-28
Author(s):  
Yahya Jirjees Tawfeeq
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Porous Media ◽  
Fluid Flow ◽  
Finite Differences ◽  
Single Phase ◽  
Flow Through Porous Media ◽  
Partial Differential ◽  
Flow Through ◽  
Phase Fluid

The complexity of porous media makes the classical methods used to study hydrocarbon reservoirs inaccurate and insufficient to predict the performance and behavior of the reservoir. Recently, fluid flow simulation and modeling used to decrease the risks in the decision of the evaluation of the reservoir and achieve the best possible economic feasibility. This study deals with a brief review of the fundamental equations required to simulate fluid flow through porous media. In this study, we review the derivative of partial differential equations governing the fluid flow through pores media. The physical interpretation of partial differential equations (especially the pressures diffusive nature) and discretization with finite differences are studied.  We restricted theoretic research to slightly compressible fluids, single-phase flow through porous media, and these are sufficient to show various typical aspects of subsurface flow numerical simulation. Moreover, only spatial and time discretization with finite differences will be considered. In this study, a mathematical model is formulated to express single-phase fluid flow in a one-dimensional porous medium. The formulated mathematical model is a partial differential equation of pressure change concerning distance and time.  Then this mathematical model converted into a numerical model using the finite differences method.

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