Practical considerations for adaptive implicit methods in reservoir simulation

Forsyth, Peter; Sammon, Peter H.

doi:10.1016/0021-9991(86)90127-0

Cited by 91 publications

(46 citation statements)

References 6 publications

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“…g 7,3 , g 10,3 , g 11,3 ) do not produce fingers. The results also indicate unambiguous grid convergence at grid level g 11,3 .…”

Section: Numerical Accuracymentioning

confidence: 51%

“…Fig. 5 shows grid-dependent mass fluxes and demonstrates convergence of results for grid g 11,3 . Likewise, breakthrough curves (shown in Fig.…”

Section: Numerical Accuracymentioning

confidence: 90%

“…To guarantee numerical stability, the solution process is completed using a variable time-step procedure similar to the one outlined by [11,44,48]. After obtaining the solution at time level L, the following time-step size is computed using:…”

Section: Time Discretizationmentioning

confidence: 99%

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A test case for the simulation of three-dimensional variable-density flow and solute transport in discretely-fractured porous media

Graf

Therrien

2008

Advances in Water Resources

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“…g 7,3 , g 10,3 , g 11,3 ) do not produce fingers. The results also indicate unambiguous grid convergence at grid level g 11,3 .…”

Section: Numerical Accuracymentioning

confidence: 51%

“…Fig. 5 shows grid-dependent mass fluxes and demonstrates convergence of results for grid g 11,3 . Likewise, breakthrough curves (shown in Fig.…”

Section: Numerical Accuracymentioning

confidence: 90%

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A test case for the simulation of three-dimensional variable-density flow and solute transport in discretely-fractured porous media

Graf

Therrien

2008

Advances in Water Resources

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“…The similar approaches for the time step size control are described in Ibaraki and Sudicky (1995) and Forsyth and Sammon (1986).…”

Section: Numerical Solutionmentioning

confidence: 99%

Migration of Contaminants in Fractured-Porous Media in the Presence of Colloids: Effects of Kinetic Interactions

2015

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The presence of colloids in groundwater can enhance contaminant migration by reducing retardation effects. The field experiments performed in a water-conducting feature of a shear zone at the Grimsel Test Site in Switzerland indicate that the sorption processes for contaminants on mobile and immobile colloids are kinetically controlled and that colloid filtration occurs. To enable the modelling of those experiments, an appropriate model of colloid-facilitated contaminant transport in fractured-porous media is developed. The physical system is modelled as a single planar fracture with adjacent fully saturated porous rock matrix. Contaminants can diffuse into the rock matrix but colloids cannot. In the mathematical model, the 1D advective contaminant transport along the fracture is coupled with contaminant diffusion into the rock matrix perpendicular to the fracture. Radioactive decay and sorption processes for contaminants in the rock matrix (linear equilibrium), on the fracture surface (linear equilibrium and linear kinetic reactions) and on mobile and filtered colloids (linear kinetic approach), are considered. The model for colloid transport includes filtration of colloids in the fracture and their remobilization. A useful approach is developed that can be applied to adequately describe a natural system (crystalline rock) with our double-porosity model (single fracture integrated into porous rock). Numerical solutions are obtained using an implicit finite difference scheme and realized in the transport code COFRAME. The transport code is validated by the comparison of calculated results with field experiment data. Some sets of simulations are performed to study the effect of kinetics for interaction processes.

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“…• FIM: Fully implicit method (Aziz and Settari, 1979) • AIM: Adaptive implicit method (Thomas and Thurnau, 1983;Forsyth and Sammon, 1986) with three levels of implicitness.…”

Section: Formulations and Solvers In Gprsmentioning

confidence: 99%

Advanced Techniques for Reservoir Simulation and Modeling of Nonconventional Wells

Durlofsky¹,

Aziz²

2004

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Practical considerations for adaptive implicit methods in reservoir simulation

Cited by 91 publications

References 6 publications

A test case for the simulation of three-dimensional variable-density flow and solute transport in discretely-fractured porous media

A test case for the simulation of three-dimensional variable-density flow and solute transport in discretely-fractured porous media

Migration of Contaminants in Fractured-Porous Media in the Presence of Colloids: Effects of Kinetic Interactions

Advanced Techniques for Reservoir Simulation and Modeling of Nonconventional Wells

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