Mathematical models in geomechanics

• Autorzy: Shashenko A. N.

Warianty tytułu

PL

Matematyczne modele w geomechanice

• Języki publikacji: EN

Abstrakty

EN

The mathematical models of narrow enough class will be considered in the frames of present statement: model of geological surroundings; geometrical model of object; model of distribution of stresses and shifts around working (main working, development working, coal face); model of distribution of extension and transpherences around the system of holes; model of interaction of scanning signals (waves) with the structural and power heterogeneities in rock mass.

PL

W niniejszym artykule rozważane są następujące modele matematyczne: model otoczenia geologicznego, geometryczny model obiektu, model rozmieszczenia nacisków i przemieszczeń w wyrobisku (wyrobisko główne, prace przygotowawcze i przodek), model interakcji sygnałów skanujących (fal) w warunkach strukturalnej niejednorodności mas skalnych.

Słowa kluczowe

EN

mathematical modelling; geomechanics; geology

PL

modelowanie matematyczne; geomechanika; geologia

• Wydawca: Instytut Gospodarki Surowcami Mineralnymi i Energią PAN ; Komitet Zrównoważonej Gospodarki Surowcami Mineralnymi PAN
• Czasopismo: Gospodarka Surowcami Mineralnymi
• Rocznik: 2003
• Tom: T. 19, z. 4
• Strony: 45--68
• Opis fizyczny: Bibliogr. 50 poz., rys., tab., wykr.

Twórcy

autor

Shashenko A. N.

• National Mining University, Dnipropetrovsk, Ukraine

Bibliografia

• [1] Blechman I.I., Myshkis A.D., Panovko YA.G., 1990 — Mechanics and applied mathematics: logics and fcatures of application of mathematics. Nauka, 356 p.
• [2] Timoshenko S.P.,Gud’er Jh., 1975 — The theory of elasticity. Nauka, 576 p.
• [3] Ioffe A.F., Kirpichev M.V., Levitskaya A.I., 1924 — Deformation and durability of crystals. The magazine of Russian physical Chemical society no 22, pp. 286-293.
• [4] Stavrogin A.N., Protosenya A.G., 1985 — The durability of rocks and stability of mining developments on large depths. Nedra, 271 p.
• [5] Timoshenko S.P., 1957 — The history of science about the resistancc of materials. Inostrannaya literature, 536 p.
• [6] The accounts on durability in mechanical engineering. Under red. S.D. Ponomarev. Gostechizdat, 1956, 885 p.
• [7] The properties of rocks and methods of their determination. E.I. Ilnitskaya, R.I. Teder, E.S. Vatolin, M.F. Kuntish. Nedra, 1969, 392 p.
• [8] Davidenkov N.N., 1957 — The dynamic conception of the solid bodies durability. Vestnic AN SSSR no 11, pp. 78-85.
• [9] Zhurkov S.N., 1957 — The kinetic conception of durability of solid bodies. Vestnic AN SSSR no 11, pp. 78-85.
• [10] Zhurkov S.N., 1968 — The kinetic conception of durability of solid bodies. Vestnic AN SSSR no 3, pp. 46-52.
• [11] Zhurkov S.N., 1980 — To the question about physical nature of durability. Phisica tverdogo tela no 22, pp. 3344-3349.
• [12] Regel V.R., Slutsker A.I., Tomashevskiy E.E., 1974 — The kinetic nature of durability of solid bodies. Nauka, 560 p.
• [13] Frenkel Ya.I., 1945 — The kinetic nature of liquids. Izd. AN SSSR 422 p.
• [14] Frenkel Ya.I., 1958 — Introduction in the theory of metals. Phismatgiz., 368 p.
• [15] Kusov A.A., 1979 — The photon model of destruction of loaded atomic chain. Fizika tverdogo tela 21, no 10. pp. 3095-3099.
• [16] Zhurkov S.N., — The dilaton mechanism of durability of solid bodies. In col.: Phisick of durability and plasticity. Izd. AN SSSR, pp. 5-11.
• [17] Mor O.,1915 — By what the limit of durability and temporary resistance of materials is causcd. In is.; New ideas in techniques. Petrograd: Obrazovanie no 1, pp. 1-50.
• [18] Beron A.I., Chirkov S.E., 1969 — The research of durability of rocks in conditions of three-axed unequal compression. Nauchnye soobsheniya IGD im. Skochinskogo, pp. 33-38.
• [19] Chirkov S.E., 1976 — The durability of rocks during three-axed unequal compression. Fiziko-technicheskie problemyu razrabotki poleznih iskopaemych no 1, pp. 11-17.
• [20] Kuznetsov G.N., Bud’ko I.N., 1971 — The research of limited conditions of fragile material in different conditions of three-axed compression. In Book: The problems of mechanics of rocks. Novosibirsc, Izd. IGD SO AN SSSR, pp. 217-266.
• [21] Annin B.D., 1966 — One flat elastic plastic task in exponential condition of liquidity. Mechanics of solid body no 3, pp. 122-123.
• [22] Baklashov .I V., Kartoziya B.A., 1986 — Mechanical proccsses in rock mass. Nedra, 272 p.
• [23] Stavrogin A.N., Protosenya A.G., 1979 — The elasticity of rocks. Nedra, 301 p.
• [24] Glushko V.T., Vinogradov V.V., 1980 — The destruction of rocks and forecasting of display of rock pressure. Nedra, 214 p.
• [25] Lifshits I.M., Rosentsveig L.N., 1946 — To the theory of elastic properties of polycrystals. Magazine of experimental and theoretical physics. vol. 16, pp. 967-979.
• [26] Druccer D., 1957 — About the uniqueness of solutions in the theory of elasticity.- Mechanics. Translated articles. no 4, pp. 12-80.
• [27] Pisarenko G.S., Lebedev A.L., 1969 — The resistance of materials to the deformation and destruction in complex intensive condition. Naukova dumka, 209 p.
• [28] MacClinton F., Argon A., 1970 — The deformation and destruction of materials. Mir, 443 p.
• [29] Ershov L.V., Iofis I.M., Haiman I.B., 1983 — The mathematical models on mass of rock. Izd. MGI, 85 p.
• [30] Rats M.V., 1973 — The structural models in engineering geology. Nedra, 216 p.
• [31] Chechulin B.B., 1963 — The scale factor and statistical nature of metals. Metallurgizdat, 120 p.
• [32] Chirkov S.E., 1969 — The influence of scale factor on the durability of coals. Nauka, 113 p.
• [33] Koifman M.I., 1962 — About the influence of sizes on the durability of rocks. The research of physical mechanical properties of rocks according to the tasks of rock pressure control. Izd. AN SSSR, pp. 6-14.
• [34] Melikidze I.G., 1959 — About the influence of form and sizes of samples on their mechanical properties. Mining magazine no 9, pp. 38-43.
• [35] Grisikova N.P., 1959 — The dependence of the limit of durability on compression from the size and form of the samples. Mechanical properties of rocks. Ugletechizdat.
• [36] Il’nitskaya E.I., 1972 — The influence of scale factor on durable properties of rocks. Physical mechanical properties, pressure and destruction of rocks. Izd. AN SSSR, pp. 17-24.
• [37] Kuntish M.F., 1964 — The research of methods of definition of main physical mechanical charactcristics of rocks, using in solving of tasks of rock pressure. Diss. IGD im. A. A. Skochinskiyi, 166 p.
• [38] Pen’kov A.M., Vopilkin A.L., 1958 — The account of support pillar in extraction of rock salt. Izd. AN USSR, 218 p.
• [39] Thei1 A.O., 1973 — O kryteriach zniszenia zespotov skalnych w switle polozouch badan mettoda besposrednego szinania. Pozpz. Hydrotehn. z. 32, s. 277-290.
• [40] Baron L.I., Kurbatov B.M., 1959 — To the question about the influence of scale factor in testing of rocks on compression. The scientific researches at working of coal and ore deposits. Gosgortchizdat, pp. 128-136.
• [41] Koifman M.I., 1963 — The main scale effect in rocks and coals. The problems of mechanization of mining workings. Izd. AN SSSR, pp. 39-56.
• [42] Volkov S.D., 1956 — About scale effect in complex intensivc condition// Physics of metals and metal science. vol. II, is. 3, pp. 428-440.
• [43] Matveev B.D., 1955 — About the dependence of results of mechanical tests of rocks from sizes of their samples. The questions of destruction and pressure of rocks. Ugletehizdat, 132-139.
• [44] Ryzhov P.A., 1973 — Mathematical statistics in mining. Vysshaya shkola, 287 p.
• [45] Karasev B. V., 1971 — Statistical approach to the research of nature and some laws of distribution of substance on Earth. The ways of searching the Earth. Nauka, pp. 131-151.
• [46] Sedrakayan L.G., 1968 — The elements of statistic theory of deformation and destruction of fragile materials. Ereven: Aistan, 247 p.
• [47] Ivanov G.A., Sarbeeva L.I., 1940 — Klivazh (separations) in coals and coaling rocks and the ways of its practical usage. P.II. Gostoptehizdat, 280 p.
• [48] Malinin S.I., 1970 — The geological basics of forecasting of rock conduction in rock developments by prospecting data. Nedra, 184 p.
• [49] Michailov A.E., 1956 — The field methods of searching of cracks in rocks. Gosgeoltehizdat. 132 p.
• [50] Establishment of laws of display of sudden outbursts of coal and gases with the purpose of development of forecasting of outburst-prone zones in thc fields of working and building mines of Donbass. V.S. Vereda, B K. Yurchenko, V.G. Surovtsev, V.A. Yampolskiyi. Donetsk: PO Ukrgeologiya, 1968, 358 p.