The Formulation of a Thermal Simulation Model in a Vectorized, General Purpose Reservoir Simulator

Chien, M.C.H.; Yardumian, Hrant E.; Chung, E.Y.; Todd, William W.

doi:10.2118/18418-ms

Cited by 43 publications

(2 citation statements)

References 8 publications

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“…Large-sparse-block matrix solution procedures (such as Orthomin schemes) which outperform conventional banded or slice successive overrelaxation (SSOR) solvers have been discussed by Behie and Vinsome [1982]. Finally, techniques that take advantage of parallel and vector architecture are also a growing subject of investigations [Chien e! al., 1989].…”

Section: Subject Reviewmentioning

confidence: 99%

Considerations for robust compositional simulations of subsurface nonaqueous phase liquid contamination and remediation

Panday¹

1995

Water Resour. Res.

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A nonisothermal compositional model has been developed for examining nonaqueous phase liquid contamination and remediation scenarios. The governing mass balance equations and constraints have been presented, and various type of compositional formulations available have been examined. An efficient and robust formulation has been developed that addressed certain issues related to groundwater situations and overcomes numerical difficulties encountered with previous formulations. The proposed formulation collapses to that corresponding to the multiphase flow equation set when interface mass transfer is neglected. Numerical implementation of the formulation has been discussed, and example problems have been presented for benchmark and verification. The present formulation outperforms other currently used formulations for the isothermal case studied and performs at least as well as its counterparts for the nonisothermal case. Characteristics of the simulator that hinder convergence for difficult problems have been identified, and directions for even further improvements have been noted. phase mass transfer, can also be used to evaluate the effectiveness of gas venting and air sparging as feasible remedial measures for contaminated sites. Finally, models that also include nonisothermal effects can examine the effectiveness of processes such as hot water flooding and steam injection as viable remediation schemes. Permeability ko, m 2 Porosity •b Soil compressibility, Pa -1 Standard fluid molar densities Pw, mat m -3 ion, mat m-3 Pa, mat m -3 Component molecular weights Mw, kg mat -1 Mn, kg mat -1 Ma, kg mat-1 Component campressibitities

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Section: Subject Reviewmentioning

confidence: 99%

Considerations for robust compositional simulations of subsurface nonaqueous phase liquid contamination and remediation

Panday¹

1995

Water Resour. Res.

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“…Simultaneous solution of the energyand mass-conservation equations was first demonstrated by Coats et al (1974). Chien et al (1989) developed a three-phase thermal compositional simulator. Their model assumed that only the water and steam phases exchange mass.…”

Section: Introductionmentioning

confidence: 99%

Tie-Simplex Parameterization for EOS-Based Thermal Compositional Simulation

Iranshahr

Voskov

2010

SPE Journal

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Thermodynamic equilibrium computations are usually the most time-consuming component in compositional reservoir flow simulation. A compositional space adaptive tabulation (CSAT) approach was developed as a preconditioner for equation of state (EOS) computations in isothermal compositional simulation. The compositional space is decomposed into sub-and supercritical regions. In the subcritical region, we adaptively parameterize the compositional space using a small number of tie-lines, which are assembled into a table. The critical surface is parameterized and used to identify supercritical compositions. The phase-equilibrium information for a composition is interpolated as a function of pressure using the tie-line table. We extend the CSAT approach to thermal problems. Given an overall composition at a fixed temperature, the boundary between sub-and supercritical pressures is represented by the critical tie-line and the corresponding minimal critical pressure (MCP). A small set of subcritical tie-lines is computed and stored for a given temperature. This process is repeated for the pressure and temperature ranges of interest, and a coarse (regular) tie-line table is constructed. Close to the critical boundary, a refined tie-line table is used. A combination of regular and refined interpolation improves the robustness of the tie-line search procedure and the overall efficiency of the computations. Several challenging problems, including an unstructured heterogeneous discrete fracture field model with 26 components, are used to demonstrate the robustness and efficiency of this general tie-line-based parameterization method.Our results indicate that CSAT provides accurate treatment of the near-critical region. Moreover, the computational efficiency of the method is at least an order of magnitude better than that of standard EOS-based reservoir simulation approaches. We also show the efficiency gains relative to standard techniques as a function of the number of gridblocks in the simulation model.

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