Solution of boundary problem for Musket-Leverett equations by Monte Carlo methods

• Autorzy: Shakenov K. K. , Kuttykozhaeva Sh. N. , Issabekova N. A.

Warianty tytułu

PL

Rozwiązanie granicznego problemu równań Musketa-Leveretta za pomocą metod Monte Carlo

• Języki publikacji: EN

Abstrakty

EN

The authors analyzed the Musket-Leverett model of biphase filtration of incompressible liquids (p/i is constant) in the porous environment characterized by system of the equations relative to a saturation s(x, t) and the "reduced" pressure p(x, t).

PL

W artykule przeanalizowano dwufazowy model filtracyjny Musketa-Leveretta dla nieściśliwych cieczy (p/i -stała) w środowisku porowym scharakteryzowanym za pomocą układu równań na nasycenie s(x, t) i "zmniejszone" ciśnienie p(x, t).

Słowa kluczowe

EN

model Musket-Leverett; Monte Carlo method; random walk by spheres; random walk by lattices

PL

model Musketa-Leveretta; metoda Monte Carlo; losowy algorytm wyboru po sferze; losowy algorytm wyboru po sieci

• Wydawca: Wydawnictwa AGH
• Czasopismo: Wiertnictwo, Nafta, Gaz
• Rocznik: 2008
• Tom: T. 25, z. 2
• Strony: 637--640
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Shakenov K. K.

• Al-Farabi Kazakh National University

autor

Kuttykozhaeva Sh. N.

• Kokshetau State University named after Sh. Ualikhanov

autor

Issabekova N. A.

• Kokshetau State University named after Sh. Ualikhanov

Bibliografia

• [1] Antontsev S.N., Kazhichov A.V., Monachov V.N.: Boundary Problems of Mechanics for non-homogeneous Liquids. Novosibirsk, Nauka, 1983, 316 (In Russian)
• [2] Shakenov K.K.: Solution of problem for one model of relaxational filtration by probabilitly-difference and Monte Carlo methods. Polish Academy of Sciences, Committee of Mining, Archives of Mining Sciences, Vol. 52, Issue 2, Kraków, 2007, 247-255
• [3] Shakenov K.: Solution of one mixed problem for equation of a relaxational filtration by Monte Carlo methods. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Springer Berlin / Heidelberg, Vol.93/2006, Book Advances in High Performance Computing and Computational Sciences, Chapter 71, 205-210
• [4] Shakenov K.K., Issabekova N.A.: Solution of problems for model of' relaxational filtration passing under linear Darcy s law by Monte Carlo and probabilitly-difference methods. The Bulletin Kazakh National University. Mathematics, Mechanics, Computer science series, No 1 (52), Almaty, 2007, 81-95 (In Russian)
• [5] Shakenov K.: Solution of the Neumann problem for Helmholtz equation by Monte Carlo methods. International Conference on Computational Mathematics, Part 1, Novosibirsk, 2004, 333-334 (In Russian)