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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie & Statistik Numerical Simulation in Applied Geophysics
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Numerical Simulation in Applied Geophysics
Juan Enrique Santos, Patricia Mercedes Gauzellino (Broschiert, Englisch)
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Beschreibung
This 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 withsufficient detail as to be easily implemented assuming the knowledge of scientific programming techniques. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
14.01.2017
Sprache
Englisch
EAN
9783319484563
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Lecture Notes in Geosystems Mathematics and Computing
Sonderedition
Nein
Autor
Juan Enrique Santos, Patricia Mercedes Gauzellino
Seitenanzahl
309
Einbandart
Broschiert
Schlagwörter
Poroelasticity, anisotropy, viscoelasticity, seismic waves, finite elements method, mesoscale, macroscale, numerical upscaling, effective media, partial differential equations
Thema-Inhalt
PBWH - Mathematische Modellierung
TBJ - Mathematik für Ingenieure
PHVG - Geophysik
PBKJ - Differentialrechnung und -gleichungen
RN - Umwelt
PHV - Angewandte Physik
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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