{"product_id":"9783319484563","title":"Lecture Notes in Geosystems Mathematics and Computing","description":"\u003ch1\u003eLecture Notes in Geosystems Mathematics and Computing\u003c\/h1\u003e \u003ch2\u003eSantos, Juan Enrique; Gauzellino, Patricia Mercedes\u003c\/h2\u003e \u003cp\u003eThis 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.\u003cbr\u003e \u003cbr\u003eThe partial differential equations  describing the propagation of waves in Biot media are solved using the  Finite Element Method (FEM).\u003cbr\u003e \u003cbr\u003eWaves 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. \u003cbr\u003e \u003cbr\u003eIn  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.\u003cbr\u003e \u003cbr\u003eThe 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.\u003cbr\u003e \u003cbr\u003eThis  approach offers an alternative to laboratory observations with the  advantages that they are inexpensive, repeatable and essentially free  from experimental errors. \u003cbr\u003e \u003cbr\u003eThe 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.\u003cbr\u003e \u003cbr\u003eThe numerical  simulations of wave propagation are presented withsufficient detail as  to be easily implemented assuming the knowledge of scientific  programming techniques.\u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2017-01-14\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319484563\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-48457-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 309\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":46547964526732,"sku":"9783319484563","price":76.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319484563.jpg?v=1776006724","url":"https:\/\/lateknightbooks.com\/products\/9783319484563","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}