Erratum to: A theory of porous media and harmonic wave propagation in poroelastic body

The study of signals propagation inside porous media is an important field especially in the biomedical research related to compact bones. The purpose of this paper is to determine a mathematical formulation of the global coefficients of transmission and reflection of nondestructive ultrasonic waves in any bi-phase porous medium. Local coefficients of transmission and reflection on the interface of the porous medium will be determined based on a study of boundary conditions. The behavior of different waves inside the porous medium will be developed so that we can derive a new formulation of global coefficients that takes interior phenomena into consideration. Results are found independently of the geometrical and physical characteristics of the medium. Note that this study is based on normal incident ultrasonic wave propagation.

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Numerical modeling of 2D seismic wave propagation in fluid saturated porous media using graphics processing unit (GPU): Study case of realistic simple structural hydrocarbon trap

10.1063/1.4958530 ◽

2016 ◽

Cited By ~ 1

Author(s):

Sudarmaji ◽

Sismanto ◽

Waluyo ◽

Bambang Soedijono

Keyword(s):

Numerical Modeling ◽

Porous Media ◽

Wave Propagation ◽

Graphics Processing Unit ◽

Seismic Wave Propagation ◽

Processing Unit ◽

Saturated Porous Media ◽

Hydrocarbon Trap ◽

Study Case ◽

Graphics Processing

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Wave Propagation in Two-Dimensional Nonlinear Periodic Lattices

Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B ◽

10.1115/detc2009-86279 ◽

2009 ◽

Author(s):

Raj K. Narisetti ◽

Massimo Ruzzene ◽

Michael J. Leamy

Keyword(s):

Wave Propagation ◽

Linear Models ◽

Periodic Structures ◽

Harmonic Wave ◽

Excitation Amplitude ◽

Pass Band ◽

Perturbation Approach ◽

Nonlinear Stiffness ◽

Two Dimensional ◽

Low Amplitude

This paper investigates wave propagation in two-dimensional nonlinear periodic structures subject to point harmonic forcing. The infinite lattice is modeled as a springmass system consisting of linear and cubic-nonlinear stiffness. The effects of nonlinearity on harmonic wave propagation are analytically predicted using a novel perturbation approach. Response is characterized by group velocity contours (derived from phase-constant contours) functionally dependent on excitation amplitude and the nonlinear stiffness coefficients. Within the pass band there is a frequency band termed the “caustic band” where the response is characterized by the appearance of low amplitude regions or “dead zones.” For a two-dimensional lattice having asymmetric nonlinearity, it is shown that these caustic bands are dependent on the excitation amplitude, unlike in corresponding linear models. The analytical predictions obtained are verified via comparisons to responses generated using a time-domain simulation of a finite two-dimensional nonlinear lattice. Lastly, the study demonstrates amplitude-dependent wave beaming in two-dimensional nonlinear periodic structures.

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