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Numerical simulation in applied geop...

Santos, Juan Enrique.

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Numerical simulation in applied geophysics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical simulation in applied geophysics/ by Juan Enrique Santos, Patricia Mercedes Gauzellino.
Author:	Santos, Juan Enrique.
other author:	Gauzellino, Patricia Mercedes.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xv, 309 p. :ill., digital ;24 cm.
[NT 15003449]:	1.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.
Contained By:	Springer eBooks
Subject:	Lipschitz spaces. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-48457-0
ISBN:	9783319484570

Numerical simulation in applied geophysics
Santos, Juan Enrique.

Numerical simulation in applied geophysics[electronic resource] /by Juan Enrique Santos, Patricia Mercedes Gauzellino. - Cham :Springer International Publishing :2016. - xv, 309 p. :ill., digital ;24 cm. - Lecture notes in geosystems mathematics and computing. - Lecture notes in geosystems mathematics and computing..

1.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.

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 with sufficient detail as to be easily implemented assuming the knowledge of scientific programming techniques.

ISBN: 9783319484570

Standard No.: 10.1007/978-3-319-48457-0doiSubjects--Topical Terms:

888656
Lipschitz spaces.

LC Class. No.: QC809.M37

Dewey Class. No.: 550.15118

Numerical simulation in applied geophysics
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100 1 $a Santos, Juan Enrique. $3 3210095
245 1 0 $a Numerical simulation in applied geophysics $h [electronic resource] / $c by Juan Enrique Santos, Patricia Mercedes Gauzellino.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a xv, 309 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in geosystems mathematics and computing
505 0 $a 1.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.
520 $a 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 with sufficient detail as to be easily implemented assuming the knowledge of scientific programming techniques.
650 0 $a Lipschitz spaces. $3 888656
650 0 $a Functions, Continuous. $3 706159
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 891089
650 2 4 $a Geophysics/Geodesy. $3 891016
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Geophysics and Environmental Physics. $3 1530865
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
700 1 $a Gauzellino, Patricia Mercedes. $3 3210096
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in geosystems mathematics and computing. $3 2157931
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-48457-0
950 $a Mathematics and Statistics (Springer-11649)