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| Citation: | Long Jianjun, Li Ganxian, Zou Dapeng. Theoretical relations of longitudinal wave velocity and physical-mechanical properties for seafloor sediments and comparison[J]. Haiyang Xuebao, 2014, 36(7): 111-117. doi: 10.3969/j.issn.0253-4193.2014.07.012
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To describe a longitudinal wave velocity of seafloor sediments,a ratio of the density variation (RDV) and a ratio of the effective elastic modulus variation (REEMV) are introduced,and then we conclude that the ratio of density variation is a composite parameter consisting of porosity,seawater density and density of solid phase of seafloor sediment. The longitudinal wave velocity can be expressed as a Taylor polynomial function of both the RDV and the REEMV. On basis of univariate analysis,the longitudinal wave velocity can be also written as a product of a reference wave velocity and a modulation function,and the theoretical results show that the reference wave velocity is determined by the physical properties of seafloor sediments,and a theoretical model of the composite parameter-longitudinal wave velocity is attained. By means of the model,the analysis of the some main presented empirical formulas of longitudinal wave velocity as a function of porosity shows that the reference wave velocity of these formulas are different each other but the modulation functions derived from these formulas are mutually equivalent. It shows that the proposed relationship between longitudinal wave velocity and physical-mechanical properties of seafloor sediments has turned out to be valid.
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