Mathematical modeling of mudflow dynamics

• Autorzy: Gurgenidze David , Kipiani Gela , Obgadze Tamaz

Identyfikatory

DOI

10.17512/bozpe.2021.1.03

• Języki publikacji: EN

Abstrakty

EN

Despite the on-going efforts of scientists, there are still few scientifically justified mathematical models that give a practical prediction of the origin, dynamics and destructive force of mudflow. Many problems related to the study of mudflows, and especially their dynamics, are not extensively studied due to the complexity of the process. The contributions of Gagoshidze (1949; 1957; 1962; 1970), Natishvili et al. (1976; 1963; 1969), Tevzadze (1971), Beruchashvili et al. (1958; 1969; 1979), Muzaev, Sozanow (1996), Gavardashvili (1986), Fleshman (1978), Vinogradov (1976) towards the study of the hydrology of mudflows deserves attention. In the scientific works of Voinich-Sianozhensky et al. (1984; 1977) and Obgadze (2016; 2019), many different mathematical models have been developed that accurately reflect the dynamics of a mudflow caused by a breaking wave. It should also be noted that many interesting imitation models have been developed by the team of Mikhailov and Chernomorets (1984). In mountainous districts, the first hit of a mudflow is taken on by lattice-type structures offered by Kherkheulidze (1984a; 1984b) that release the flow from fractions of large stones and floating trees. After passing through the lattice-type structures, the mudflow is released from large fractions and turns into a water-mud flow. In order to simulate this flow, a mathematical model based on the baro-viscous fluid model offered by Geniev-Gogoladze (1987; 1985) has been developed, where the averaging formula of Voynich-Sianozhencki is used for the particle density, and for the concentration of the solid phase, the diffusion equation is added to the system dynamics equations. In the given article, for the constructed mathematical model, the exact solution of the one-dimensional flow in the mudflow channel is considered. The problem of stratification of the fluid density under equilibrium conditions is discussed. In the riverbed of the Kurmukhi River, for two-dimensional currents, the problem of flow around the bridge pier with an elliptical cross-section is considered. The Rvachev-Obgadze variation method (1982; 1989a; 1989b) is used to solve the streamlined problem.

Słowa kluczowe

EN

water-mud flow; Rvachev-Obgadze variation method; Geniev-Gogoladze’s baro-viscous fluid

PL

przepływ wody; przepływ błota; metoda zmienności

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Budownictwo o Zoptymalizowanym Potencjale Energetycznym
• Rocznik: 2021
• Tom: Vol. 10 Nr 1
• Strony: 27--42
• Opis fizyczny: Bibliogr. 30 poz., rys.

Twórcy

autor

Gurgenidze David

• Georgian Technical University

• https://orcid.org/0000-0001-8459-8756

autor

Kipiani Gela

• Georgian Technical University

• https://orcid.org/0000-0001-6811-3595

autor

Obgadze Tamaz

• Georgian Technical University

• https://orcid.org/0000-0002-5520-7151

Bibliografia

• 1.Beruchashvili, G.M. (1959) Some issues of mudflow dynamics and its interaction with structures. Alma-Ata, 132-144 (in Russian language).
• 2.Beruchashvili, G.M. (1979) Method for determining the maximum flow rates of mudflows at the time of their occurrence. Alma-Ata, 40-55 (in Russian language).
• 3.Beruchashvili, G.M. & Kokorishvili, V.I. (1969) Some results of the study of mudflows. 42-62 (in Russian language).
• 4.Fleishman, S.M. (1978) Mudflows. Hydro-meteorological Publishing House, L. (in Russian language).
• 5.Gagoshidze, M.S. (1949) Characteristic features of mudflows forming in the basins of Mountain Rivers of the Caucasus. News of the Georgian Scientific Research Institute of Hydraulic Engineering Structures and Amelioration, I, 43-45 (in Russian language).
• 6.Gagoshidze, M.S. (1957) The “concept” of mudflows and their hydrological nature. In: Mudflows and control measures. Ed. Academy of Sciences of USSR, 85-90 (in Russian language).
• 7.Gagoshidze, M.S. (1962) Structure, formation and movement of structural mudflows. In: Protection of railways against mudflows. M., State Transport Railway Publishing House, 180-187 (in Russian language).
• 8.Gagoshidze, M.S. (1970) Mudflow phenomena and control measures. Tbilisi, Publishing House “Soviet Georgia” (in Russian language).
• 9.Gavardashvili, G.V. (1986) Research of the leveling slope of the introduction in the upstream of mudflow control barriers on Mountain Rivers. 105-108 (in Russian language).
• 10.Geniev, G.A. & Gogoladze, R.V. (1987) One-dimensional steady motion of an incompressible barviscous medium. Reports of the Academy of Sciences of Georgia, 128, 2 (in Russian language).
• 11.Geniev, G.A. (1985) Structural mechanics and design of structures. 2 (in Russian language).
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• 13.Kherkheulidze, G.I. (1984b) Mudflow Loads and Methods for Their Determination. 77-112 (in Russian language).
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• 27.Tevzadze, V.I. (1971) About drawing up a one-dimensional equation of the dynamics of a structural mudflow. TbilNIGMI, 28, 150-154 (in Russian language).
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).