A Hierarchical Multigrid Method for Oil Production Optimization

Hørsholt, Steen; Nick, Hamidreza M.; Jørgensen, John Bagterp

doi:10.1016/j.ifacol.2019.06.110

Cited by 1 publication

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“…Therefore, the problem of geological exploration can often be transformed into a problem governed by wave equation. Due to the advantages of low computational complexity, multigrid method has been widely used in geological investigation and resource exploration [46][47][48][49][50][51][52][53][54] . In 1991, Bhogeswara, R Realistic had developed a variant of multigrid for the simulation of multiphase and multicomponent fluid flow in oil reservoirs which was computationally intensive, and the results obtained showed that the performance was comparable to current mainframe supercomputers [46] .…”

Section: Applications Of Mlutigrid Methods In the Field Of Geologymentioning

confidence: 99%

“…R.P.Hammersley et al integrated an algebraic multigrid technique into a parallel reservoir simulation code and found that it performed well when solving for scalar solution to a system of ellipic equations [49] . More recently, Steen Hørsholt et al presented a hierarchical multigrid method for oil production optimization of industry-scale the reservoir models [50] . For tracking seismic reflections to identify horizons, Xinming Wu and Sergey Fomel utilized the multigrid method that globally fit both local slopes and multigrid correlations of seismic traces [70] .…”

Section: Applications Of Mlutigrid Methods In the Field Of Geologymentioning

confidence: 99%

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Research on the application of multigrid method in the past 60 years

Yang¹

2022

Int. J. Stat. Appl. Math.

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The multigrid method has the property of fast convergence, computational simplicity and robustness, therefore, it has been applied in various problems. We analyze the researches on the application of the multigrid method, and find that this method: (1) could be applied in many branches of physics; (2) mainly focuses on the problem of tomography in the field of image processing; (3) is generally applied in the problem of geological exploration in the field of geology; (4) has not been widely used yet in the field of finance.

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