Физика ЗемлиФизика Земли0002-3337The Russian Academy of Sciences1164810.31857/S0002-333720192168-180Research ArticleTidal generated electric field in the multi-layer structure and the possibilities of its employment for deriving the elastic properties and permeability of the subsurface formationsAlekseevD. A.alexeevgeo@gmail.comGokhbergM. B.gmb@ifz.ruInstitute of the Earth Physics of the Russian Academy of SciencesP.P. Shirshov Institute of Oceanology of Russian Academy of SciencesMoscow Institute of Physics and Technology06042019216818006042019Copyright © 2019, Russian Academy of Sciences2019<p style="text-align: justify;">An analytical solution of pore pressure equations with a perturbation source in the form of lunar-solar tidaldeformations is generalized to the case of a model with the arbitrary number of layers. The electric field ofelectrokinetic nature is calculated. The sensitivity of pore pressure and its vertical derivative to the elasticproperties and permeability of rock strata is evaluated. The program code for solving the inverse problemcapable of recovering the Biot modulus and Biot coefficient as well as permeability coefficient in a horizontallylayered model is developed. The possibilities of mapping these parameters are discussed including their studyfrom the borehole measurements of the vertical electric field of electrokinetic origin.</p>Biot poroelasticity theoryporous fluid-saturated mediumlunar-solar tideselectric fieldelectrokinetic effectinverse problemтеория Биопористая флюидонасыщенная средалунно-солнечный приливэлектрическое полеэлектрокинетический эффектобратная задача[Евсеев А.Н. Мантийная конвекция и фазовые переходы. Девятое международное совещание «Физико-химические и петрофизические исследования в науках о Земле». M.: ИФХ РАН, ГЕОХИ РАН. 2008.][Ландау Л.Д., Лифшиц Е.М. Гидродинамика.М.: Наука. 1986.][Слезкин Н.А. Динамика вязкой несжимаемой вязкости. М.: ГИТТЛ. 1955. С. 514.][Трубицын В.П., Харыбин Е.В. Конвективная неустойчивость режима седиментации в мантии // Изв. АН СССР Сер. Физика Земли. 1987. № 7. С. 21–30.][Трубицын В.П., Харыбин Е.В. Термоседиментационная конвективная неустойчивость двухкомпонентной вязкой жидкости // Физика Земли. 1991. № 2. С. 3–17.][Chandraskhar S. Hydrodynamic and hydromagnetic stability. Oxford. Claredon Press. 1961. P. 652.][McCaffrey S.J., Elliott L., Ingham D.B. Enhanced Sedimen¬tation in Inclined Fracture Channels // Topics in Engi¬neering. 1997. V. 32. P. 280–291][Halliday A.N., Wood B.J. The Composition and Major Reservoirs of the Earth Around the Time of the Moon-Forming Giant Impact. Treatise on Geophysics. V. 1 / Ed. in Chief G. Schubert. Elsvier. 2015. P. 5604.][Hill W.D., Rothhfus R.R., Kun Li. Boundary enhanced sedimentation due to settling convection // Intern. J. Multiphase Flow. 1977. V. 3. № 6. P. 561–583][Joseph D.D. Viscous potential flow // J. Fluid. Mech. 2003. V. 479. P. 191–197.][Moresi L.N., Solomatov V.S. Numerical investigation of 2 D convection with extremely large viscosity variations // Phys. Fluids. 1995. V. 7. P. 2154–2162.][Moresi L., Zhong S.J., Gurnis M. The accuracy of finite element solutions of Stokes’ flow with strongly varying viscosity // Phys. Earth Planet. Inter. 1996. V. 97. P. 83–94.][Pаn T.W., Joseph D.D., Glowinski R. Modelling RayleighTaylor instability of a sedimenting suspension of several thousand circular particles in a direct numerical simulation // J. Fluid Mech. 2001. V. 434. P. 23.][Richardson J.F., Zaki W.N. Sedimentation and fluidization // I. Trans. Inst. Chem. Eng. 1954. V. 32. P. 35–53.][Rubie D.C., Nimmo F., Melosh H.J. Formation of Earth’s Core. Treatise on Geophysics. V. 1 / Ed. in Chief G. Schubert. Elsvier. 2015. P. 5604.][Rudman M. Two-phase natural convection for crystal settling in magma chambers // Phys. Earth Planet. Inter. 1992. V. 72. P. 153–172.][Solomatov V. Magma Oceans and Primordial Mantle Differentiation. Treatise on Geophysics. V. 1 / Ed. in Chief G. Schubert. Elsvier. 2015. P. 5604.][Walter M.J., Trønnes R.G. Early Earth differentiation // Earth and Planetary Science Letters. 2004. V. 225. P. 253–269.]