Virginia Tech. Bradley Department of Electrical and Computer EngineeringArete AssociatesSockell, MichaelBesieris, Ioannis M.Kohler, Werner E.Freese, Herbert2015-05-262015-05-261985-01-01Sockell, M., Besieris, I., Kohler, W., & Freese, H. (1985). A Markov process model of ocean sediments. Journal of the Acoustical Society of America, 77(1), 74-82. doi: 10.1121/1.3919040001-4966http://hdl.handle.net/10919/52599Monochromatic plane-wave illumination of a randomly stratified, laterally homogeneous sediment layer is considered. The deposition process creating the stochastic layering is assumed to be a continuous parameter, finite state Markov chain. A Riccati equation for the plane-wave reflection coefficient is formulated and first-order partial differential equations for relevant probability density functions are subsequently obtained. These equations are solved numerically for a two-material turbidite model similar to the one considered by Gilbert [J. Acoust. Soc. Am. 68, 1454-1458 (1980)]. Statistical moments of the reflection coefficient are computed at 25 and 250 Hz as a function of overall sediment thickness. These equations are also used to derive the nonrandom or "smooth" geoacoustic model that is appropriate in the low-frequency limit.9 pagesapplication/pdfenIn CopyrightMarkov processesPartial differential equationsReflection coefficientDifferential equationsIlluminationArticle - Refereedhttp://scitation.aip.org/content/asa/journal/jasa/77/1/10.1121/1.391904https://doi.org/10.1121/1.391904