scholarly journals Performance metrics of the fixed stress split algorithm for multiphase poromechanics

2021 ◽  
Author(s):  
Saumik Dana ◽  
Mohamad Jammoul ◽  
Mary Wheeler
Keyword(s):  
Performance Metrics ◽  
Coupling Parameter ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Oil Reservoir ◽  
Splitting Algorithm ◽  
Two Phase ◽  
Flow Equations ◽  
Hexahedral Elements ◽  
Oil Flow

We focus on the performance of the fixed stress splitting algorithm for the immiscible water-oil flow coupled with linear poromechanics. The two-phase flow equations are solved on general hexahedral elements using the multipoint flux mixed finite element method, whereas, the geomechanics equations are discretized using the conforming Galerkin method. The effects of the coupling parameter on the performance of the fixed stress algorithm is demonstrated for the Frio oil reservoir site.

NUMERICAL ANALYSIS OF A TWO PHASE FLOW MODEL

2012 ◽  
Vol 09 (03) ◽  
pp. 1250036 ◽  
Author(s):  
MOHAMED ABDELWAHED ◽  
MOHAMED AMARA
Keyword(s):  
Stokes Equations ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Time Discretization ◽  
Variable Density ◽  
Navier Stokes ◽  
Two Phase ◽  
Navier Stokes Equations ◽  
Quality Of Water ◽  
Coupling Characteristics

Due to ever increasing water demand, the preservation of water quality is becoming a very important issue. Eutrophication is amongst the particular problems threatening the quality of water. This paper begins with presenting a mathematical model for aeration process in lake used to combat water eutrophication. Two phases are numerically simulated to study the injected air effect on water by using a corrected one phase model described by Navier–Stokes equations with variable density and viscosity representing the mixture. This model is numerically studied by coupling characteristics scheme for time discretization and mixed finite element method for space approximation. An error estimates in space and time for the velocity are obtained. Numerical results are given firstly in support of the mathematical analysis and secondly to simulate a real application case of the studied problem.

Parallel Simulations of CO2 Sequestration Using a Non-Isothermal Compositional Model

2008 ◽  
Author(s):  
Mojdeh Delshad ◽  
Sunil G. Thomas ◽  
Mary F. Wheeler
Keyword(s):  
Energy Transfer ◽  
Thermal Energy ◽  
Oil Recovery ◽  
Co2 Sequestration ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Benchmark Problems ◽  
Two Phase ◽  
Pressure System ◽  
Compositional Model

This paper describes an efficient and parallel numerical scheme for multiphase compositional flow. The underlying theory is first presented followed by a brief description of the equation of state (EOS) and the two-phase flash implementation. An iterative “implicit-pressure and explicit-concentrations” (IMPEC) algorithm is then applied to enforce a non-linear volume balance (saturation) constraint. The pressure system is solved using a mixed finite element method, while the concentrations are updated explicitly in a manner that preserves local mass balance of every component. A major application of this scheme is in the modeling of field scale CO2 sequestration, as an enhanced oil recovery (EOR) process or for storage in deep saline aquifers. Thermal energy transfer also plays an important role in such problems since it can effect the phase properties dramatically. Hence, accurate and locally conservative methods are desirable to model the thermal effects. To this end, the paper also presents a time-split scheme for modeling thermal energy transfer which is sequentially coupled to flow. Finally, some numerical results are presented for challenging benchmark problems.

Sign in / Sign up

Export Citation Format

Share Document