Pressure wave propagation in a fluid flowing through a porous medium and problems related to interpretation of Stoneley's wave attenuation in acoustical well logging

Abstract A theoretical study is presented for the propagation of pressure waves in a fluid flowing through a porous medium, with special emphasis on the problems related to the interpretation of the attenuation mechanism of Stoneley's wave in acoustical well logging. Some relevant results regarding the effects of porous medium permeability and fluid viscosity on the pressure wave behaviour in porous formations, generated by Stoneley's wave along the interface separating fluid-saturated porous medium from borehole fluid, are shown. The conditions under which the permeability may be evaluated from Stoneley's wave attenuation, recorded in the acoustical well logging, are also pointed out and discussed.

[1]  A. S. Odeh,et al.  The Equations of Motion of Fluids in Porous Media: I. Propagation Velocity of Pressure Pulses , 1967 .

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

[3]  J. White,et al.  Underground Sound: Application of Seismic Waves , 1983 .

[4]  Maurice A. Biot,et al.  Propagation of elastic waves in a cylindrical bore containing a fluid , 1952 .

[5]  J. White,et al.  Computed seismic speeds and attenuation in rocks with partial gas saturation , 1975 .

[6]  J. Geertsma Estimating the Coefficient of Inertial Resistance in Fluid Flow Through Porous Media , 1974 .

[7]  N. Dutta,et al.  Attenuation and dispersion of compressional waves in fluid-filled porous rocks with partial gas saturation (White model); Part I, Biot theory , 1979 .

[8]  R. Larson Derivation of generalized Darcy equations for creeping flow in porous media , 1981 .

[9]  E. M. Lifshitz,et al.  Classical theory of fields , 1952 .

[10]  D. L. Johnson,et al.  The equivalence of quasistatic flow in fluid‐saturated porous media and Biot’s slow wave in the limit of zero frequency , 1981 .

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

[12]  J. H. Rosenbaum Synthetic microseismograms; logging in porous formations , 1974 .

[13]  M. Nafi Toksöz,et al.  Elastic wave propagation in a fluid-filled borehole and synthetic acoustic logs , 1981 .

[14]  Mark E. Willis,et al.  Determination of in situ attenuation from full waveform acoustic logs , 1982 .

[15]  D. L. Johnson Elastodynamics of porous media , 1982 .