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Spatial Contact Problems for Porous Elastic Bases

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Spatial Contact Problems in Geotechnics

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

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Abstract

The sixth chapter presents solutions of spatial problems of applied geomechanics related to variation of pore pressure in the soil. The influence of the pore pressure decline on the soil settlement and cracking as well as the induced seismicity and other environmental hazards due to pumping out gas and oil deposits or intense removal of underground water at industrial or civil engineering is discussed. The methods for numerical modelling of soil mass deformations due to the reduction of the pore pressure are described. The approach is based on the application of integral representations for displacements in a half-space saturated with liquid (or gas) according to the theory of linear pore-elasticity (filtration consolidation). Spatial deformation of the earth surface due to operating horizontal gas-and-oil wells or water drains is studied with the account of the run-off mode. Finally, the results for boundary-element solutions of the spatial contract interaction of structures with the soil at reduced pore pressure are presented.

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References

  1. Altenbach J, Sacharov A S (eds.) (1982) Die Methode der Finiten Elemente in der Festkörpermechanik. Fachbuchverlag, Leipzig

    MATH  Google Scholar 

  2. Banerjee P K, Butterfield R (1981) Boundary element methods in engineering science. McGraw-Hill, New York

    MATH  Google Scholar 

  3. Bartolomei A A, Omelchak I M, Yushkov B S (1994) Principles of the prediction of pile foundation settlements. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  4. Biot M A (1941) General theory of three-dimensional consolidation. J Appl Phys 12: 155–164

    Article  MATH  Google Scholar 

  5. Bondar A L, Subbotin I E (1993) Study of land surface deformation in the area of Shebelynka gas field. Geod Kartogr (issue 4): 22–24 (in Russian)

    Google Scholar 

  6. Chernykh V A (1989) Geodynamics of processes of development of oil and gas fields. In: Problems of increase of efficiency of technology of natural gas field development. VNIIGAZ, Moscow, pp. 12–21 (in Russian)

    Google Scholar 

  7. Corapcioglu M Y (1984) Land subsidence – a state of the art review. In: J. Bear and M J. Corapcioglu (eds.) Fundamentals of transport phenomena in porous media. Noordhoff, Dordrecht, pp. 371–444

    Google Scholar 

  8. Johnson K L (1985) Contact mechanics. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  9. Maizel V M (1951) Temperature problem of theory of elasticity. Ukr Acad Sci Publ., Kyiv (in Russian)

    Google Scholar 

  10. Nikolaevsky V N, Basniyev K S, Gorbunov A T et al. (1970) Mechanics of saturated porous media. Nedra, Moscow (in Russian)

    Google Scholar 

  11. Nowacki W (1970) Teoria sprezystosci. PWN, Warszawa

    Google Scholar 

  12. Plevako V P (1969) A point force inside a pair of cohering half-spaces. Soil Mech Found Eng 6: 165–169

    Article  Google Scholar 

  13. Plotnikova L M, Flyonova M G, Machmudova V I (1990) Induced seismicity in the Gazly gas field region. Gerlands Beitr. Geophysik. Leipzig 99: 389–399

    Google Scholar 

  14. Poland J (ed.) (1984) Guidebook to studies of land subsidence due to groundwater withdrawal. UNESCO, Paris

    Google Scholar 

  15. Polubarinova-Kochina P Ya (1977) Theory of motion of ground waters. Nauka, Moscow (in Russian)

    Google Scholar 

  16. Sakalo V I, Shkurin A A (1985) Universal program for triangulation of a two-dimensional domains of an arbitrary shape with grid condensations. Probl Prochn (issue 1): 106–108 (in Russian)

    Google Scholar 

  17. Samarskiy A A, Gulin A V (1989) Numerical methods. Nauka, Moscow (in Russian)

    Google Scholar 

  18. Scott R F (1979) Subsidence: a review. In: Saxena S K (ed.) Evaluation and prediction of subsidence. ASCE, New York, pp. 1–25

    Google Scholar 

  19. Segall P, Yerkes R F (1990) Stress and fluid-pressure associated with oil-field operations: a critical assessment of effects in the focal region of the earthquake. In: Geological survey. Professional paper, pp. 259–272

    Google Scholar 

  20. Segerlind L J (1976) Applied finite element analysis. J Wiley & Sons, New York

    MATH  Google Scholar 

  21. Sobolevskiy D Yu (1994) Strength and bearing capacity of dilatating soil. Nauka i Tekhnika, Minsk (in Russian)

    Google Scholar 

  22. Tsytovich N A, Ter-Martirosyan Z G (1981) Fundamentals of applied geomechanics in engineering. Vysshaya Shkola, Moscow (in Russian)

    Google Scholar 

  23. Word Oil’s Handbook of Horizontal Drilling and Completion Technology (1991). Gulf Publishing Company, Houston

    Google Scholar 

  24. Zaretskii Yu K (1967) Theory of soil consolidation. Nauka, Moscow (in Russian)

    Google Scholar 

  25. Zienkiewicz O C (1971) The finite element method in engineering science. McGraw-Hill, London

    MATH  Google Scholar 

  26. Zotov G A, Chernykh V A (1992) Geodynamic processes at development of hydrocarbon fields. In: Geotechnical problems of development of natural gas fields. VNIIGAZ, Moscow, pp. 24–30 (in Russian)

    Google Scholar 

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Correspondence to Sergey M. Aleynikov† .

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Aleynikov†, S.M. (2010). Spatial Contact Problems for Porous Elastic Bases. In: Spatial Contact Problems in Geotechnics. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/b11479_6

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  • DOI: https://doi.org/10.1007/b11479_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25138-5

  • Online ISBN: 978-3-540-44776-4

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