Analytical Solution for the Transient Response of A Sloping Seabed Induced by A P-Wave Line Source  

作　　者：MA Rong SHAN Zhen-dong XIE Zhi-nan DONG Rui JING Li-ping 

机构地区：[1]Key Laboratory of Earthquake Engineering and Engineering Vibration,Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China [2]Key Laboratory of Earthquake Disaster Mitigation,Ministry of Emergency Management,Harbin 150080,China

出　　处：《China Ocean Engineering》2023年第6期1044-1054,共11页中国海洋工程（英文版）

基　　金：financially supported by the National Key R&D Program of China (Grant No.2021YFC3100700);the National Natural Science Foundation of China (Grant Nos.U2039209 and 41874067);the Natural Science Foundation of Heilongjiang Province,China (Grant No.YQ2021D010)。

摘　　要：Many offshore marine structures are built on the seabed that are slightly or considerably sloping.To study the sloping seabed transient response during marine earthquakes,an analytical solution induced by a P-wave line source embedded in the solid is presented.During the derivation,the wave fields in the fluid layer and the semi-infinite solid are firstly constructed by using the generalized ray method and the fluid-solid interface reflection and transmission coefficients.Then,the analytical solution in the transformed domain is obtained by superposing these wave fields,and the analytical solution in the time domain by applying the analytical inverse Laplace transform method.The the head wave generation conditions and arrival times at the fluid-solid interface are derived through this solution.Through the use of numerical examples,the analytical solution is proved right and the impacts of the sloping angle on the hydrodynamic pressure in the sea,the seismic wave propagation in the seabed,the head wave,and the Scholte wave at the seawater-seabed interface are also addressed.

关 键 词：marine earthquake seismic wave head wave Scholte wave sloping seabed 

分 类 号：P75[天文地球—海洋科学]