Modelling of Imbibition Phenomena in Fluid Flow through Heterogeneous Inclined Porous Media with different porous materials

2017 ◽  
Vol 6 (4) ◽  
Author(s):  
Hardik S. Patel ◽  
Ramakanta Meher
Keyword(s):  
Porous Media ◽  
Porous Materials ◽  
Oil Recovery ◽  
Recovery Rate ◽  
Adomian Decomposition Method ◽  
Recovery Process ◽  
Fine Sand ◽  
Heterogeneous Porous Media ◽  
Adomian Decomposition ◽  
Flow Through

AbstractIn this paper, the counter - current imbibition phenomenon is discussed in an inclined heterogeneous porous media with the consideration of two types of porous materials like volcanic sand and fine sand. Adomian decomposition method is applied to find the saturation of wetting phase and the recovery rate of the reservoir. Finally, a simulation result is developed to study the saturation of wetting phase and the optimum recovery rate of reservoir with the choices of some interesting parametric values. This problem has a great importance in the field of oil recovery process.

scholarly journals Effect of Heterogeneity on Imbibition Phenomena in Fluid Flow through Porous Media with Different Porous Materials

2019 ◽  
Vol 8 (1) ◽  
pp. 46-55 ◽  
Author(s):  
Hardik S. Patel ◽  
Ramakanta Meher
Keyword(s):  
Porous Media ◽  
Porous Materials ◽  
Recovery Rate ◽  
Adomian Decomposition Method ◽  
Fine Sand ◽  
Heterogeneous Porous Media ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Counter Current ◽  
Optimum Recovery

Abstract In this paper, the counter – current imbibition phenomena in a heterogeneous porous media is studied with the consideration of two types of porous materials like volcanic and fine sand and Adomian decomposition method is applied to find the saturation of wetting phase and the recovery rate of the reservoir. A simulation result is developed here to study the effect of heterogeneity, capillarity and relative permeability on saturation rate and to obtain an optimum recovery rate of the reservoir with the choices of some interesting parametric value.

Modelling of imbibition phenomena in two-phase fluid flow through fractured porous media

2017 ◽  
Vol 6 (1) ◽  
Author(s):  
Hardik S. Patel ◽  
Ramakanta Meher
Keyword(s):  
Porous Media ◽  
Oil Recovery ◽  
Recovery Rate ◽  
Adomian Decomposition Method ◽  
Recovery Process ◽  
Porous Matrix ◽  
Dimensionless Time ◽  
Two Phase ◽  
Adomian Decomposition ◽  
Phase Fluid

AbstractIn this paper, the counter-current imbibition phenomenon in two phase fluid through fracture porous media is discussed and Adomian decomposition method is applied to find the saturation of wetting phase and the recovery rate of the reservoir. A simulation result is developed for the saturation of wetting phase in fracture matrix and in porous matrix for some interesting choices of parametric value to study the recovery rate of the oil reservoir with dimensionless time. This problem has a great importance in the oil recovery process.

scholarly journals Analytical Treatment and Convergence of the Adomian Decomposition Method for Instability Phenomena Arising during Oil Recovery Process

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Ramakanta Meher ◽  
Srikanta K. Meher
Keyword(s):  
Porous Medium ◽  
Oil Recovery ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Porous Medium Equation ◽  
Recovery Process ◽  
Analytical Treatment ◽  
Medium Equation ◽  
Double Phase ◽  
Adomian Decomposition

An abstract result is proved for the convergence of Adomian decomposition method for partial differential equations that model porous medium equation. Moreover, we prove that this decomposition scheme applied to a porous medium equation arising in instability phenomena in double phase flow through porous media is convergent in a suitable Hilbert space. Furthermore, this technique is utilized to find closed-form solutions for the problem under consideration.

scholarly journals Study on Approximate Analytical Method with Its Application Arising in Fluid Flow

2021 ◽  
Author(s):  
Twinkle R. Singh
Keyword(s):  
Differential Equation ◽  
Oil Recovery ◽  
Decomposition Method ◽  
Nonlinear Partial Differential Equation ◽  
Adomian Decomposition Method ◽  
Variational Iteration Method ◽  
Recovery Process ◽  
Adomian Decomposition ◽  
Independent Variable ◽  
Counter Current

This chapter is about the, Variational iteration method (VIM); Adomian decomposition method and its modification has been applied to solve nonlinear partial differential equation of imbibition phenomenon in oil recovery process. The important condition of counter-current imbibition phenomenon as v i = − v n , has been considered here main aim, here is to determine the saturation of injected fluid S i x t during oil recovery process which is a function of distance ξ and time θ , therefore saturation S i is chosen as a dependent variable while x and t are chosen as independent variable. The solution of the phenomenon has been found by VIM, ADM and Laplace Adomian decomposition method (LADM). The effectiveness of our method is illustrated by different numerical.

Approximate solution of imbibition phenomenon arising in heterogeneous porous media by optimal homotopy analysis method

2019 ◽  
Vol 08 (03) ◽  
pp. 1950014
Author(s):  
Shreekant Pathak ◽  
Twinkle Singh
Keyword(s):  
Porous Media ◽  
Oil Recovery ◽  
Homotopy Analysis Method ◽  
Recovery Process ◽  
Heterogeneous Porous Media ◽  
Analysis Method ◽  
Optimal Homotopy Analysis Method ◽  
Homotopy Analysis ◽  
Homogeneous Porous Medium ◽  
Secondary Oil Recovery

This paper deals with approximate homotopy series solution of imbibition phenomenon occurring in multiphase flow during the secondary oil recovery process. In heterogeneous porous media, the geometry of pores is irregular while in homogeneous porous media, the geometry of pores is uniformly same. The comparative study of counter-current imbibition phenomenon in heterogeneous and homogeneous porous medium has been also discussed. The governing partial differential equation obtained by mathematical formation of imbibition phenomenon has been solved by the optimal homotopy analysis method. The numerical as well as graphical interpretation of the solution have been given.

Numerical Simulation for Flow Through Conducting Metal and Metallic Oxide Nanofluids

2020 ◽  
Vol 9 (4) ◽  
pp. 354-361
Author(s):  
P. K. Pattnaik ◽  
S. R. Mishra ◽  
Ram Prakash Sharma
Keyword(s):  
Metal Oxide Nanoparticles ◽  
Three Dimensional ◽  
Adomian Decomposition Method ◽  
Metallic Oxide ◽  
Electrically Conducting ◽  
Number Comparison ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Analytical Result ◽  
Exponentially Stretching

Present paper aims to analyze three-dimensional (3D) motion of an electrically conducting nanofluid past an exponentially stretching sheet. Both metal and metal oxide nanoparticles (such as Cu, Al2O3, TiO2) in the base fluid (water) are examined. Nonlinear ordinary differential systems are obtained by suitable transformations. The crux of the analysis is the development of an estimated analytical result obtained by employing the “Adomian Decomposition Method” (ADM), an approximate analytical method. Momentum and energy descriptions with prescribed boundary conditions are employed. The velocity components and temperature are analyzed. Tabulated values are organized aimed at the outcomes of skin-friction coefficients and Nusselt number. Comparison with past limiting results is shown. Finally, the outstanding outcomes of the present result are; the velocity profile with the inclusion of particle concentration and magnetic parameter decelerate significantly and Al2O3 nanoparticles are favorable for the enhancement in the rate of heat transfer.

MHD Natural Convection Slip Flow through Vertical Porous Plates with Time-Periodic Boundary Conditions

2018 ◽  
Vol 388 ◽  
pp. 135-145
Author(s):  
Samuel Olumide Adesanya ◽  
L. Rundora ◽  
R.S. Lebelo ◽  
K.C. Moloi
Keyword(s):  
Convective Flow ◽  
Decomposition Method ◽  
Hartmann Number ◽  
Slip Flow ◽  
Adomian Decomposition Method ◽  
Periodic Boundary Conditions ◽  
Temperature Profiles ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Time Periodic

In this work, the convective flow of heat generating hydromagnetic fluid through a leaky channel is investigated. Due to channel porosity, the asymmetrical slip conditions are imposed on both walls. The coupled dimensionless partial differential equations are reduced to a system of second-order boundary-value problems based on some flow assumptions and solved by Adomian decomposition method (ADM). Variations in velocity and temperature profiles are presented and discussed in detail. The result of the analysis revealed that increasing Hartmann number decreases the flow velocity while the slip parameters enhance the flow.

Sign in / Sign up

Export Citation Format

Share Document