Modified Method of Characteristics for Generating EOR Oil Recovery Curves

Gas Injection ◽

Oil Reservoir ◽

Simulation Algorithm ◽

Recovery Curves ◽

Minimum Miscibility Pressure ◽

Modified Method ◽

Percent Recovery ◽

Abstract The paper describes a fast and approximate 1D simulation algorithm for calculating the percent recovery that can be obtained from an oil reservoir if gas injection is carried out at a pressure lower than the minimum miscibility pressure. The algorithm is based on the Method of Characteristics. While a conventional 1D reservoir simulation of a gas injection scenario may take minutes or even hours, the proposed algorithm allows a full evaluation of the recovery to be completed within seconds. To make the method numerically robust, a number of approximations were needed. The result is an extremely fast algorithm that not only provides a good estimate of the recovery obtained by gas injection, but also gives a good visualization of how the gas displaces the oil.

THE MODIFIED METHOD OF CHARACTERISTICS WITH MIXED FINITE ELEMENT DOMAIN DECOMPOSITION PROCEDURES FOR THE ENHANCED OIL RECOVERY SIMULATION

Far East Journal of Applied Mathematics ◽

10.17654/fjamnov2015_123_152 ◽

2015 ◽

Vol 93 (2) ◽

pp. 123-152

Author(s):

Yirang Yuan ◽

Luo Chang ◽

Changfeng Li ◽

Tongjun Sun

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Enhanced Oil Recovery ◽

Oil Recovery ◽

Mixed Finite Element ◽

Modified Method ◽

Recovery Simulation

An interpolation-corrected modified method of characteristics to solve advection-dispersion equations

Advances in Water Resources ◽

10.1016/0309-1708(96)00014-0 ◽

1996 ◽

Vol 19 (6) ◽

pp. 359-368 ◽

Cited By ~ 2

Author(s):

H.H. Liu ◽

J.H. Dane

Keyword(s):

Dispersion Equations ◽

Advection Dispersion ◽

Modified Method ◽

A modified method of characteristics to simulate lossy transmission lines in digital circuits

Proceedings of 1997 Asia-Pacific Microwave Conference ◽

10.1109/apmc.1997.656366 ◽

2002 ◽

Author(s):

Zheng-Fan Li ◽

Qin-Wei Xu ◽

Jian-Zheng Zhu

Keyword(s):

Transmission Lines ◽

Digital Circuits ◽

Modified Method ◽

Lossy Transmission ◽

The Rate of Convergence of the Modified Method of Characteristics for Linear Advection Equations in One Dimension

Mathematics for Large Scale Computing ◽

10.1201/9780429332760-5 ◽

2020 ◽

pp. 115-126

Author(s):

Clint N. Dawson ◽

Todd F. Dupont ◽

Mary F. Wheeler

Keyword(s):

Rate Of Convergence ◽

One Dimension ◽

Modified Method ◽

A Numerical Method for Compressible Model of Contamination from Nuclear Waste in Porous Media

Mathematical Problems in Engineering ◽

10.1155/2021/8872845 ◽

2021 ◽

Vol 2021 ◽

pp. 1-12

Author(s):

Zhifeng Wang

Keyword(s):

Porous Media ◽

Mixed Finite Element ◽

Grid Method ◽

Thermal Conditions ◽

Mixed Finite Element Method ◽

Fine Grid ◽

Modified Method ◽

Optimal Accuracy ◽

This paper studies and analyzes a model describing the flow of contaminated brines through the porous media under severe thermal conditions caused by the radioactive contaminants. The problem is approximated based on combining the mixed finite element method with the modified method of characteristics. In order to solve the resulting algebraic nonlinear equations efficiently, a two-grid method is presented and discussed in this paper. This approach includes a small nonlinear system on a coarse grid with size H and a linear system on a fine grid with size h . It follows from error estimates that asymptotically optimal accuracy can be obtained as long as the mesh sizes satisfy H = O h 1 / 3 .

A combined algorithm based on finite elements and a modified method of characteristics for the analysis of the corona in wire-duct electrostatic precipitators

IEEE Transactions on Industry Applications ◽

10.1109/28.980343 ◽

2002 ◽

Vol 38 (1) ◽

pp. 43-49 ◽

Cited By ~ 20

Author(s):

Z.M. Al-Hamouz

Keyword(s):

Finite Elements ◽

Modified Method ◽

Electrostatic Precipitators ◽

Combined Algorithm

Adaptive Modified Method of Characteristics to Solve the One-Dimensional Solute Transport Equation

Soil Science Society of America Journal ◽

10.2136/sssaj1995.03615995005900030007x ◽

1995 ◽

Vol 59 (3) ◽

pp. 677-683 ◽

Cited By ~ 1

Author(s):

Hui Hai Liu ◽

J. H. Dane ◽

O. Güven

Keyword(s):

Solute Transport ◽

Transport Equation ◽

One Dimensional ◽

Modified Method ◽

The One

Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media

International Journal of Partial Differential Equations ◽

10.1155/2014/245086 ◽

2014 ◽

Vol 2014 ◽

pp. 1-16

Author(s):

Sarvesh Kumar ◽

Sangita Yadav

Keyword(s):

Porous Media ◽

Finite Volume ◽

Miscible Displacement ◽

Volume Element ◽

Modified Method ◽

Finite Volume Element ◽

Velocity Equation ◽

Concentration Equation

The incompressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations, the pressure-velocity equation and the concentration equation. In this paper, we present a mixed finite volume element method (FVEM) for the approximation of the pressure-velocity equation. Since modified method of characteristics (MMOC) minimizes the grid orientation effect, for the approximation of the concentration equation, we apply a standard FVEM combined with MMOC. A priori error estimates in L∞(L2) norm are derived for velocity, pressure and concentration. Numerical results are presented to substantiate the validity of the theoretical results.