Diffraction of Elastic Waves in Fluid-Layered Solid Interfaces by an Integral Formulation

In the present communication, scattering of elastic waves in fluid-layered solid interfaces is studied. The indirect boundary element method is used to deal with this wave propagation phenomenon in 2D fluid-layered solid models. The source is represented by Hankel’s function of second kind and this is always applied in the fluid. Our method is an approximate boundary integral technique which is based upon an integral representation for scattered elastic waves using single-layer boundary sources. This approach is typically called indirect because the sources’ strengths are calculated as an intermediate step. In addition, this formulation is regarded as a realization of Huygens’ principle. The results are presented in frequency and time domains. Various aspects related to the different wave types that emerge from this kind of problems are emphasized. A near interface pulse generates changes in the pressure field and can be registered by receivers located in the fluid. In order to show the accuracy of our method, we validated the results with those obtained by the discrete wave number applied to a fluid-solid interface joining two half-spaces, one fluid and the other an elastic solid.

[1]  K. Hokstad Nonlinear and dispersive acoustic wave propagation , 2004 .

[2]  A. Boström,et al.  Ultrasonic wave propagation through a cracked solid , 1995 .

[3]  Keiiti Aki,et al.  Discrete wave-number representation of seismic-source wave fields , 1977, Bulletin of the Seismological Society of America.

[4]  O. C. Zienkiewicz,et al.  Fluid‐structure dynamic interaction and wave forces. An introduction to numerical treatment , 1978 .

[5]  J. Carcione,et al.  Simulation of seismograms in a 2-D viscoelastic Earth by pseudospectral methods , 2005 .

[6]  R. Hill,et al.  Dynamical Problems in Elasticity (Progress in Solid Mechanics, vol. III) , 1964 .

[7]  F. Luzón,et al.  Diffraction of seismic waves in an elastic, cracked halfplane using a boundary integral formulation , 2005 .

[8]  L. Ying,et al.  Characteristic analysis for stress wave propagation in transversely isotropic fluid-saturated porous media , 2004 .

[9]  António Tadeu,et al.  2.5D Green's Functions for Elastodynamic Problems in Layered Acoustic and Elastic Formations , 2001 .

[10]  Roland Martin,et al.  Multiple Scattering of Elastic Waves by Subsurface Fractures and Cavities , 2006 .

[11]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[12]  J. H. Rosenbaum,et al.  Acoustic waves from an impulsive source in a fluid‐filled borehole , 1966 .

[13]  Ilkka Karasalo Exact Finite Elements for Wave Propagation in Range-Independent Fluid-Solid Media , 1994 .

[14]  F. Sánchez-Sesma,et al.  Scattering of Rayleigh-waves by surface-breaking cracks: an integral formulation , 2007 .

[15]  M. Toksöz,et al.  Stoneley‐wave propagation in a fluid‐filled borehole with a vertical fracture , 1991 .

[16]  Francisco J. Sánchez-Sesma,et al.  DIFFRACTION OF P, SV AND RAYLEIGH WAVES BY TOPOGRAPHIC FEATURES: A BOUNDARY INTEGRAL FORMULATION , 1991 .

[17]  F. Sánchez-Sesma,et al.  Numerical Simulation of Multiple Scattering by Hidden Cracks under the Incidence of Elastic Waves , 2009 .

[18]  A. Ashour Propagation of guided waves in a fluid layer bounded by two viscoelastic transversely isotropic solids , 2000 .

[19]  J. Carcione,et al.  The physics and simulation of wave propagation at the ocean bottom , 2004 .

[20]  J. Thovert,et al.  Wave propagation through saturated porous media. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Johan O. A. Robertsson,et al.  Finite-difference modeling of wave propagation in a fluid-solid configuration , 2002 .

[22]  F. Scherbaum,et al.  Acoustic simulation of P‐wave propagation in a heterogeneous spherical earth: numerical method and application to precursor waves to PKPdf , 2000 .

[23]  Michael Schoenberg,et al.  Wave propagation in alternating solid and fluid layers , 1984 .

[24]  Scattering of elastic waves by shallow elliptical cracks , 2007 .

[25]  W. Marsden I and J , 2012 .

[26]  F. Sánchez-Sesma,et al.  Rayleigh-wave scattering by shallow cracks using the indirect boundary element method , 2009 .

[27]  T. Charlton Progress in Solid Mechanics , 1962, Nature.

[28]  D. Komatitsch,et al.  Wave propagation near a fluid-solid interface : A spectral-element approach , 2000 .

[29]  M. J. Mayes,et al.  Excitation of surface waves of different modes at fluid–porous solid interface , 1986 .

[30]  Zhang Chuhan,et al.  Analytical solutions for dynamic pressures of coupling fluid-solid-porous medium due to P wave incidence , 2004 .

[31]  B. Gurevich,et al.  Shear wave dispersion and attenuation in periodic systems of alternating solid and viscous fluid layers , 2006 .

[32]  PROPAGATION OF LEAKY SURFACE WAVES IN THERMOELASTIC SOLIDS DUE TO INVISCID FLUID LOADINGS , 2005 .

[33]  Determination of the Mechanical Properties of a Solid Elastic Medium from a Seismic Wave Propagation Using Two Statistical Estimators , 2008 .

[34]  Maurice A. Biot,et al.  The interaction of Rayleigh and Stoneley waves in the ocean bottom , 1952 .

[35]  M. Toksöz,et al.  Stoneley-wave propagation in a fluid-filled borehole with a vertical fracture , 1991 .

[36]  Roland Martin,et al.  Indirect Boundary Element Method applied to Fluid-Solid Interfaces , 2011 .

[37]  António Tadeu,et al.  ACOUSTIC INSULATION OF SINGLE PANEL WALLS PROVIDED BY ANALYTICAL EXPRESSIONS VERSUS THE MASS LAW , 2002 .