Solutions of pore pressure build up due to progressive waves

Abstract

SUMMARYThe analytical solution of soil pore pressure accumulations due to a progressive wave is examined in detail. First of all, the errors contained in a published analytical solution for wave-induced pore pressure accumulation are addressed, and the correct solution is presented in a more general form. The behaviour of the solution under di!erent soil conditions is then investigated. It is found that the solution for deep soil conditions is sensitive to the soil shear stress in the top thin layer of the soil. However the solution is signi"cantly in#uenced by the shear stress in the thin layer of soil near the impermeable base, for shallow and "nite depth soil conditions. It is also found that a small error in the soil shear stress can lead to a large error in the accumulated pore pressure. An error analysis reveals the relationships between the accuracy of the pore pressure accumulation and the accuracy of the soil shear stress. A numerical solution to the simpli"ed Biot consolidation equation is also developed. It is shown that the error analysis is of signi"cant value for the numerical modelling of pore pressure buildup in marine soils. Both analytical and numerical examples are given to validate the error estimation method proposed in the present paper.

Submarine Paleoseismology Based on Turbidite Records

“…Liquefaction due to wave loading. The passage of large waves, either via storms or tsunami, induces oscillatory fluctuation in the loading condition, as well as progressive increase in pore pressure after repeated wave cycles (e.g., Cheng et al 2001). As successive waves pass, an undrained loading condition occurs, increasing pore fluid pressures and potentially bringing a slope closer to its static failure condition.…”

A new approximation for pore pressure accumulation in marine sediment due to water waves

“…These analytical solutions are useful for both engineers and researchers, as they can be used for either the investigation of qualitative behaviour of complicated engineering problems or the validation of numerical methods. Recently, using a similar approach, Cheng et al [17] re-examined the analytical solution of McDougal et al [16] and proposed a numerical model to investigate the same problem. As pointed out by Cheng et al [17], the analytical solution proposed by McDougal et al [16] revealed some errors in the formulations.…”

“…Recently, using a similar approach, Cheng et al [17] re-examined the analytical solution of McDougal et al [16] and proposed a numerical model to investigate the same problem. As pointed out by Cheng et al [17], the analytical solution proposed by McDougal et al [16] revealed some errors in the formulations. However, after a close…”

“…The definitions of the symbols used above are the same as those used in the original publications [16,17], except b à representing b in the original paper. As shown above, errors in Equations (M-28), (M-36) and (M-37) occurred in the original paper of McDougal et al [16], while errors of (M-33) and (M-37) occurred in Cheng et al [17]. All the aforementioned investigations are based on the linear relation of pore pressure generation to cyclic loading proposed in References [3,18].…”

Numerical study of wave-induced soil response in a sloping seabed in the vicinity of a breakwater

“…Seed and Rahman [7] may be the first to investigate a simple 1-D finite element model to describe the build-up of pore pressure under progressive wave. This model has been further extended or modified to examine the wave-induced residual response analytically and numerically [8,[31][32][33]. Sassa and Sekiguchi [34] developed a 2-D elasto-plastic constitutive model where the principal stress axes rotation in the sand is incorporated and compared the numerical solutions with their experimental measurements conducted in a centrifuge wave tank [35].…”