Asymptotic representations of elastic wave fields in permeable strata

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• 作者：A. I. Filippov (1)
  O. V. Akhmetova (2)
  G. F. Zamanova (1)
  
• 关键词：telegraph equation ; asymptotic method ; pressure wave field ; exact solution ; filtration ; anisotropic medium
• 刊名：Acoustical Physics
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：59
• 期：5
• 页码：548-558
• 全文大小：762KB
• 参考文献：1. B. N. Ivanov, Vestn. Kazan. Tekhnol. Univ., no. 3, 100 (2008).
  2. G. A. Maksimov and A. V. Radchenko, Elektron. Zh. 鈥淭ekhn. Akustika鈥? no. 10 (2003).
  3. A. I. Filippov, P. N. Mikhailov, O. V. Akhmetova, and M. A. Goryunova, Priklad. Matem. Tekhn. Fiz. g class="a-plus-plus">51g>(3), 84 (2010).
  4. A. I. Filippov and S. A. Filippov, / Thermodynamics of Filtrating Oil-Gas Flows (Sterlitamak Gos. Pedagog. Inst. 2002).
  5. A. I. Filippov, P. N. Mikhailov, K. A. Filippov, et al.,Teplofiz. Vys. Temp. g class="a-plus-plus">47g>, 752 (2009).
  6. A. I. Filippov, / Barothermal Effect in Liquids (Gilem, Ufa, 2006) [in Russian].
  7. A. I. Filippov and K. N. Korotkova, Fiz. Voln. Prots. Radiotekh. Sist. g class="a-plus-plus">12g>(1), 48 (2009).
  8. E. B. Chekalyuk, / Fundamentals of Piezometry of Oil and Gas Deposits (Gos. Izd. Tekh Lit. Ukr. SSR, Kiev, 1965) [in Russian].
  9. K. P. Gurov, / Phenomenological Thermodynamics of Irreversible Processes (Nauka, Moscow, 1978) [in Russian].
  10. R. I. Nigmatulin, / Fundamentals of Heterogeneous Media Mechanics (Nauka, Moscow, 1978).
  
• 作者单位：A. I. Filippov (1)
  O. V. Akhmetova (2)
  G. F. Zamanova (1)
  
  1. Institute of Applied Research, Academy of Sciences of the Republic of Bashkortostan, ul. Odesskaya 68, Sverlitamak, Republic of Bashkortostan, 453103, Russia
  2. Branch of Ufa State Oil Engineering University, ul. Gubkina 67, Salavat, Republic of Bashkortostan, 453200, Russia
  
• ISSN：1562-6865

文摘

An analytical method has been developed for studying filtration wave fields in oil-gas collectors, which makes it possible to reduce wave conjugation problems to simple problems for the aymptotic expansion coefficients. Simple analytic dependences have been found to calculate the fields in inhomogeneous anisotropic layers for the zero and first coefficients. Such dependences can serve as the basis for a fundamentally new and more complete study of wave fields as applied to acoustic logging and seismic surveying. The reliability of this method is substantiated by comparing the obtained asymptotic solutions with the expansion coefficients of an exact solution to the parameterized problem expanded into a Maclaurin series for the formal parameter.