The method of finite cells for the analysis of terrain subsidence caused by tectonic movements or by subterrain exploitation

• Autorzy: Szczepiński W. , Zowczak W.
• Języki publikacji: PL

Abstrakty

EN

A simple numerical procedure for determining two- and three-dimensional field of displacements in the terrain subsidence caused by tectonic movements is proposed. The procedure is based on the concept of J. Litwiniszyn, who treated the gravity flow of a solid medium as a stochastic process. In this procedure, an imagined two-dimensional system of cells analogous to the Galton's board is assumed. Theoretical considerations are supported by simple experimental simulations.

Słowa kluczowe

PL

osiadanie terenu; kinematyka; podejście stochastyczne

EN

terrain subsidence; kinematics; stochastic approach

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2007
• Tom: Vol. 59, nr 6
• Strony: 541--557
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Szczepiński W.

autor

Zowczak W.

Bibliografia

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• 2. S. KNOTHE, Equation of the final profile of subsidence [in Polish], Archiwum Gornictwa i Hutnictwa, 1, 1, 1953.
• 3. J. LITWINISZYN, Application of the equation of stochastic processes to mechanics of loose bodies, Arch. Mech. Stos., 8, 393-411, 1956.
• 4. J. LITWINISZYN, On application of random walk to the mechanics of granular media, Proc. IUTAM Symp. Rheology and Soil Mechanics, Grenoble, April 1964, Springer Verlag, 1966.
• 5. J. LITWINISZYN, Stochastic methods in mechanics of granular bodies, CISM Courses and Lectures, No. 93, Springer Verlag, Udine 1974.
• 6. I. I. KANDAUROV, Mechanics of Granular Media and its Applications in Civil Engineering, A. A. Balkema, 1991.
• 7. W. SZCZEPINSKI, On the movements of granular materials in bins and hoppers, Engng. Trans., 51, 419-431, 2003.
• 8. W. SZCZEPINSKI, On the stochastic approach to the three-dimensional problems of strata mechanics, Bull. Polish Academy of Sciences, Techn. Sci., 51, 335-345, 2003.
• 9. E. STIGLER-SZYDLO, W. TUTAJ, The effect of subterrain exploitation of mines on the state of stress and displacements of transport embankments, Arch. Civil Mech. Engng., 1, 65-90, 2005.
• 10. A. SMOLARSKI, On some applications of linear mathematical methods of the strata mechanics, Prace Komisji Nauk Technicznych PAN w Krakowie, Seria Mechanika, 5, 1967.
• 11. S. KNOTHE, A. SMOLARSKI, Impact of mining activity on the surface of terrain resulting in the development of the stochastic media theory [in Polish], Arch. Mining. Sci., 50, 23-31, 2005.