Abstract
Based on Biot theory, the seabed of the shallow ocean is considered as an inhomogeneous, poroelastic medium in order to calculate the complex reflection coefficient of plane waves. In addition to the inhomogeneities, the physical properties of the seabed are considered to vary randomly with depth as a one dimensional stochastic sequence. Using the statistical distribution of these fluctuations in depth many numerical realizations of a finely layered medium are generated. The Monte Carlo algorithm is used to obtain the probability distribution for the reflection coefficient versus frequency and grazing angle through a large number of simulations. The sensitivity of the deterministic system response to the degree of randomness in the seabed physical properties is analyzed. It is found that the complex reflection is sensitive to the random structure of seabed shear modulus, porosity, and permeability. A unique scatter relation exists in phase and amplitude of the reflection coefficient which is related to the relaxation frequency of the porous seabed at the low-grazing angles.
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