Nonlinear parameter estimation in water-saturated sandy sediment with difference frequency acoustic wave.

Difference frequency acoustic wave from nonlinear interaction of two primary acoustic waves at frequencies of 76 and 114 kHz was utilized with a parametric acoustic array theory to estimate the nonlinearity parameter of water-saturated sandy sediment. Such nonlinearity parameter can be used as background information for the nonlinear acoustic investigation of bottom or sub-bottom profiling in the ocean sandy sediments. Because of its lower attenuation the difference frequency acoustic wave method can be usefully applied to estimate the nonlinearity parameter of ocean sediment in the ocean as well as under laboratory conditions. The nonlinearity parameter beta for the water-saturated sandy sediment used as a reference in this study was estimated as beta=80.5+/-5.1 at the difference frequency of 38 kHz. It was agreed very well with that estimated at the difference frequency of 67 kHz, when two primary frequencies were 137 and 204 kHz. The estimated nonlinearity parameter of water-saturated sandy sediment in this study was also compared and analyzed with those estimated in previously published literatures. It was suggested that the difference frequency wave method used to estimate the nonlinearity parameter of water-saturated sandy sediment can be employed as a good method to estimate the nonlinearity parameters of fluid-like granular media.

[1]  Kang I L Lee,et al.  Correlations between acoustic properties and bone density in bovine cancellous bone from 0.5 to 2 MHz. , 2003, The Journal of the Acoustical Society of America.

[2]  Comparison of linear and nonlinear elastic moduli for reservoir rock by use of a granular medium model , 1996 .

[3]  I. Beresnev,et al.  Experimental investigations of nonlinear seismic effects , 1988 .

[4]  J. Hovem The nonlinearity parameter of saturated marine sediments , 1979 .

[5]  T. Muir Nonlinear Acoustics and Its Role in the Sedimentary Geophysics of the Sea , 1974 .

[6]  Frank A. Boyle,et al.  A model for acoustic backscatter from muddy sediments , 1995 .

[7]  C. Clay,et al.  Fundamentals of Acoustical Oceanography , 1997 .

[8]  R. Beyer Parameter of Nonlinearity in Fluids , 1959 .

[9]  L. Bjørnø Characterization of biological media by means of their non-linearity. , 1986, Ultrasonics.

[10]  V. Zaitsev,et al.  Detection of acoustic pulses in river sand: Experiment , 1999 .

[11]  Paul A. Johnson,et al.  Nonlinear Generation of Elastic Waves in Crystalline Rock , 1987 .

[12]  M. Biot Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range , 1956 .

[13]  M. Biot Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range , 1956 .

[14]  Paul A. Johnson,et al.  The mechanism of strong nonlinear elasticity in earth solids , 2000 .

[15]  D. Blackstock Fundamentals of Physical Acoustics , 2000 .

[16]  Michael J. Buckingham,et al.  Theory of compressional and shear waves in fluidlike marine sediments , 1998 .

[17]  Frank A. Boyle,et al.  Nonlinear acoustic scattering from a gassy poroelastic seabed , 1998 .

[18]  L. Bjørnø Forty years of nonlinear ultrasound. , 2002, Ultrasonics.

[19]  Oleg A. Sapozhnikov,et al.  Nonlinear Wave Processes in Acoustics , 1998 .

[20]  S. Kelly,et al.  Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid , 1956 .

[21]  Paul A. Johnson,et al.  Observations of nonlinear elastic wave behavior in sandstone , 1993 .

[22]  Paul A. Johnson,et al.  Nonlinear generation of elastic waves in granite and sandstone: Continuous wave and travel time observations , 1989 .

[23]  Alexander Sutin,et al.  Observation of nonlinear scattering of acoustical waves at sea sediments , 1995 .

[24]  K. Khashanah,et al.  Nonlinear acoustic waves in porous media in the context of Biot's theory. , 1997, The Journal of the Acoustical Society of America.

[25]  P. He Experimental verification of models for determining dispersion from attenuation. , 1999, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[26]  K. Williams,et al.  An effective density fluid model for acoustic propagation in sediments derived from Biot theory. , 2001, The Journal of the Acoustical Society of America.

[27]  N. Chotiros,et al.  A model for high‐frequency acoustic backscatter from gas bubbles in sandy sediments at shallow grazing angles , 1995 .

[28]  Lloyd Hampton Physics of Sound in Marine Sediments , 1974, Marine Science.

[29]  Maurice A. Biot,et al.  Nonlinear and semilinear rheology of porous solids , 1973 .

[30]  W. Cobb Finite amplitude method for the determination of the acoustic nonlinearity parameter B/A , 1982 .