Abstract
One of the acceptable theories in describing the wave motions in fluid saturated porous rocks is Biot's theory2 In this paper, we present the procedures in the determination of the parameters in Biot's theory. One artificial rock “Alundum’ and three types of natural sandstones were tested. The calculated wave speeds in the rock specimens, based on the experimentally determined Biot's parameters, were found in good agreement with the measured dilatational wave speeds using the ultrasonic pulse method
Similar content being viewed by others
References
Yew, C.H. andJogi, P.N., “Study of Wave Motions in Fluid Saturated Rocks,”J. Acous. Soc. Am.,60 (1),2–8 (Jul. 1976).
Biot, M.A., “Theory of Propagation of Elastic Waves in a Fluid Saturated Porous Solid,”J. Acous. Soc. Am.,28 (2),163–178 (Mar. 1956).
Yew, C.H. and Jogi, P.N., “Determination of Biot's Constants Based on the Measured Wave Motion,” Report EMRL 1122, Department of Engineering Mechanics, University of Texas at Austin (1978).
Carmichael, C., “Kent's Mechanical Engineer's Handbook,” 12th ed., Wiley Handbook Series (1967).
Biot, M.A. and Willis, D.C., “The Elastic Coefficients of the Theory of Consolidation,” J. Appl. Mech., 594–601 (Dec. 1957).
Fatt, I., “The Biot-Willis Elastic Coefficients for a Sandstone,” J. Appl. Mech., 296–297 (Jun. 1959).
Katz, D.L., Kobayashi, R., Poettmann, E.H., Vary, J.A., Elenbaas, J.R. and Neinaug, C.S., “Handbook of Natural Gas Engineering,” McGraw-Hill Book Co., 40–46 (1959).
Gregory, A.B. andPodio, A.L., “Dual-Mode Ultrasonic Apparatus for Measuring Compressional and Shear Wave Velocities of Rock Samples,”Sonic and Ultrasonic Measurement, IEEE Trans.,SU-17,77–85 (1965).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yew, C.H., Jogi, P.N. The determination of biot's parameters for sandstones. Experimental Mechanics 18, 167–172 (1978). https://doi.org/10.1007/BF02324137
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02324137