Analytical Method of Partial Standing Wave-Induced Seabed Response in Finite Soil Thickness under Arbitrary Reflection

摘要

Most analytical solutions for wave-induced soil response have been mainly developed to investigate the influence of the progressive and standing waves on the seabed response in an infinite seabed.This paper presents a new analytical solution to the governing equations considering the wave-induced soil response for the partial standing wave fields with arbitrary reflectivity in a porous seabed of finite thickness,using the effective stress based on Biot's theory (Biot,1941) and elastic foundation coupled with linear wave theory.The newly developed solution for wave-seabed interaction in seabed of finite depth has wide applicability as an analytical solutions because it can be easily extended to the previous analytical solutions by varying water depth and reflection ratio.For more realistic wave field,the partial standing waves caused by the breakwaters with arbitrary reflectivity are considered.The analytical solutions was verified by comparing with the previous results for a seabed of infinite thickness under the two-dimensional progressive and standing wave fields derived by Yamamoto et al.(1978) and Tsai Lee(1994).Based on the analytical solutions derived in this study,the influence of water depth and wave period on the characteristics of the seabed response for the progressive,standing and partial standing wave fields in a seabed of finite thickness were carefully examined.The analytical solution shows that the soil response (including pore pressure,shear stress,horizontal and vertical effective stresses) for a seabed of finite thickness is quite different in an infinite seabed.In particular,this study also found that the wave-induced seabed response under the partial wave conditions was reduced compared with the standing wave fields,and depends on the reflection coefficient.