Operator-based linearization approach for modeling of multiphase multi-component flow in porous media

Voskov, Denis

doi:10.1016/j.jcp.2017.02.041

Cited by 65 publications

(64 citation statements)

References 30 publications

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“…They put more emphasis on effective coupling between thermodynamic phase equilibrium with flow and transport. Research is mainly focused towards effective phase resolution Iranshahr et al (2010), Voskov andTchelepi (2009), Zaydullin et al (2016) and faster, efficient convergence of linearized nonlinear transport equations coupled with phase behavior Voskov (2017). A general overview of few of the methods used in this domain are summarized in Zaydullin et al (2014).…”

Section: List Of Figuresmentioning

confidence: 99%

“…In this work, we utilize a recently developed fully implicit Operator-Based Linearization (OBL) technique proposed in Voskov (2017). The OBL method controls the nonlinearity of the problem with the multi-linear representation of state-dependent operators in governing equations.…”

Section: Operator Based Linearizationmentioning

confidence: 99%

“…These operators either can be created in the pre-processing stage and stored in the form of tables parametrized using p and as variables or can be generated during the course of simulation as and when they are required (Adaptive OBL). These operators are used to linearize equation (2.6) and write in operator form as shown in equation (1.25) see Voskov (2017) for details. Based on the values of p and the location in the parameter space is identified and the value of these operators and their derivatives are calculated using linear interpolation of the neighboring base node points.…”

Section: Adding Chemical Reaction In Oblmentioning

confidence: 99%

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Parameterization Of Element Balance Formulation In Reactive Compositional Flow And Transport

Kala

Voskov

2018

Proceedings

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Section: List Of Figuresmentioning

confidence: 99%

Section: Operator Based Linearizationmentioning

confidence: 99%

Section: Adding Chemical Reaction In Oblmentioning

confidence: 99%

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Parameterization Of Element Balance Formulation In Reactive Compositional Flow And Transport

Kala

Voskov

2018

Proceedings

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“…In this work, we utilize a recently developed fully implicit operator-based linearization (OBL) technique [25]. The OBL method controls the nonlinearity of the problem with the multi-linear representation of state-dependent operators in governing equations.…”

Section: Introductionmentioning

confidence: 99%

Element balance formulation in reactive compositional flow and transport with parameterization technique

Kala

Voskov

2019

Comput Geosci

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We present a novel nonlinear formulation for modeling reactive-compositional flow and transport in the presence of complex phase behavior due to a combination of thermodynamic and chemical equilibria in multi-phase systems. We apply this formulation to model precipitation/dissolution of minerals in reactive multiphase flow in subsurface reservoirs. The proposed formulation is based on the consistent element balance reduction of the molar (overall composition) formulation. To predict the complex phase behavior in such systems, we include the chemical equilibrium constraints to the multiphase multicomponent negative flash calculations and solve the thermodynamic phase and chemical phase equilibria simultaneously. In this solution, the phase equilibrium is represented by the partition coefficients, whereas the chemical equilibrium reaction is represented by the activity coefficients model. This provides a generic treatment of chemical and thermodynamic equilibrium within the successive substitution loop of multiphase flash to accommodate chemical equilibrium reactions (precipitation and dissolution reactions). Equilibrium Rate Annihilation matrix allows us to reduce the governing component conservation equations to element conservation equations, while the coupling between chemical and thermodynamic equilibrium is captured by a simultaneous solution of modified multiphase flash equations. The element balance equation written in terms of overall component mole fractions is modified and defined in terms of element mole fractions. Therefore, the primary set of governing equations are the element balance equations and the kinetic equations. This element composition of the mixture serves as an input to the modified multiphase flash computations, whereas the output is fractions of components in each phase, including solids. The nonlinear element-based governing equations are solved with the modified version of the operator-based linearization (OBL) approach where the governing equations are formulated in terms of space-and state-dependent parameters constrained by the solution of the extended multiphase flash. The element balance molar formulation along with the modified multiphase flash has been tested in a simple transport model with dissolution and precipitation reactions. The simulation of multidimensional problems of practical interest has been performed using the adaptive OBL technique. This is the first time when a robust multiphase multicomponent flash based on element fractions is coupled with an element balance-based compositional formulation and tested for multidimensional problems of practical interest. The proposed technique improves both robustness and performance of complex chemical models. simulation being the main tool in this process. Therefore, there are continuous efforts to improve the performance of the reservoir simulators and also implement a higher degree of physics into them in order to capture detailed subsurface processes with greater accuracy and without loss of computational efficiency. Reser...

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“…Further development of the parametrization technique was proposed in Voskov (2017). The Operator Based Linearization (OBL) approach suggests parametrization of the combined operators in governing equations based on primary nonlinear unknowns -state variables.…”

Section: Introductionmentioning

confidence: 99%

Tie-Simplex Parametrization For Operator-Based Linearization For Non-Isothermal Multiphase Compositional Flow In Porous

2018

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Operator-based linearization approach for modeling of multiphase multi-component flow in porous media

Cited by 65 publications

References 30 publications

Parameterization Of Element Balance Formulation In Reactive Compositional Flow And Transport

Parameterization Of Element Balance Formulation In Reactive Compositional Flow And Transport

Element balance formulation in reactive compositional flow and transport with parameterization technique

Tie-Simplex Parametrization For Operator-Based Linearization For Non-Isothermal Multiphase Compositional Flow In Porous

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