임의반사율의 부분중복파동장에서 유한두께를 갖는 해저지반 내지반응답의 해석법

Most analytical solutions for wave-induced soil response have been mainly developed to investigate theinfluence of the progressive and standing waves on the seabed response in an infinite seabed. This paper presents anew analytical solution to the governing equations considering the wave-induced soil response for the partialstanding wave fields with arbitrary reflectivity in a porous seabed of finite thickness, using the effective stress basedon Biot's theory (Biot, 1941) and elastic foundation coupled with linear wave theory. The newly developed solutionfor wave-seabed interaction in seabed of finite depth has wide applicability as an analytical solutions because it canbe easily extended to the previous analytical solutions by varying water depth and reflection ratio. For more realisticwave field, the partial standing waves caused by the breakwaters with arbitrary reflectivity are considered. Theanalytical solutions was verified by comparing with the previous results for a seabed of infinite thickness under thetwo-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 thecharacteristics of the seabed response for the progressive, standing and partial standing wave fields in a seabed offinite thickness were carefully examined. The analytical solution shows that the soil response (including porepressure, shear stress, horizontal and vertical effective stresses) for a seabed of finite thickness is quite different inan infinite seabed. In particular, this study also found that the wave-induced seabed response under the partial waveconditions was reduced compared with the standing wave fields, and depends on the reflection coefficient.