LEADER 05071nam 22006495 450 001 9910254085203321 005 20200817135935.0 010 $a3-319-48457-5 024 7 $a10.1007/978-3-319-48457-0 035 $a(CKB)3710000001041185 035 $a(DE-He213)978-3-319-48457-0 035 $a(MiAaPQ)EBC5610854 035 $a(PPN)19834192X 035 $a(EXLCZ)993710000001041185 100 $a20170113d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumerical Simulation in Applied Geophysics$b[electronic resource] /$fby Juan Enrique Santos, Patricia Mercedes Gauzellino 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XV, 309 p.) 225 1 $aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996 311 $a3-319-48456-7 327 $a1.Waves in porous media -- 2.Extensions of Biot Theory -- 3.Absorbing Boundary Conditions in Viscoelastic and -- 4.Induced Anisotropy, Viscoelastic and Poroelastic -- 5.Wave Propagation in Poroelastic Media. The Finite -- 6.The Mesoscale and the Macroscale. Isotropic Case -- 7.The Mesoscale and the Macroscale. VTI Case -- 8.Wave Propagation at the Macroscale -- . 330 $aThis book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics. In particular, a derivation of absorbing boundary conditions in viscoelastic and poroelastic media is presented, which later is employed in the applications. The partial differential equations describing the propagation of waves in Biot media are solved using the Finite Element Method (FEM). Waves propagating in a Biot medium suffer attenuation and dispersion effects. In particular the fast compressional and shear waves are converted to slow diffusion-type waves at mesoscopic-scale heterogeneities (on the order of centimeters), effect usually occurring in the seismic range of frequencies. In some cases, a Biot medium presents a dense set of fractures oriented in preference directions. When the average distance between fractures is much smaller than the wavelengths of the travelling fast compressional and shear waves, the medium behaves as an effective viscoelastic and anisotropic medium at the macroscale. The book presents a procedure determine the coefficients of the effective medium employing a collection of time-harmonic compressibility and shear experiments, in the context of Numerical Rock Physics. Each experiment is associated with a boundary value problem, that is solved using the FEM. This approach offers an alternative to laboratory observations with the advantages that they are inexpensive, repeatable and essentially free from experimental errors. The different topics are followed by illustrative examples of application in Geophysical Exploration. In particular, the effects caused by mesoscopic-scale heterogeneities or the presence of aligned fractures are taking into account in the seismic wave propagation models at the macroscale. The numerical simulations of wave propagation are presented with sufficient detail as to be easily implemented assuming the knowledge of scientific programming techniques. 410 0$aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996 606 $aMathematical models 606 $aGeophysics 606 $aPartial differential equations 606 $aMathematical physics 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aGeophysics and Environmental Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P32000 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aMathematical models. 615 0$aGeophysics. 615 0$aPartial differential equations. 615 0$aMathematical physics. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aGeophysics/Geodesy. 615 24$aPartial Differential Equations. 615 24$aGeophysics and Environmental Physics. 615 24$aMathematical Applications in the Physical Sciences. 676 $a550.15118 700 $aSantos$b Juan Enrique$4aut$4http://id.loc.gov/vocabulary/relators/aut$0756020 702 $aGauzellino$b Patricia Mercedes$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254085203321 996 $aNumerical Simulation in Applied Geophysics$92070243 997 $aUNINA