Seepage force on a pipeline buried in a poroelastic seabed under wave loadings

The water wave induced seepage force on a pipeline buried in the seabed is investigated. The seabedis modeled as a porous and elastic medium containing a nearly saturated pore water, which is generally known as the Biot model. The pipeline is assumed to be rigid. It is not supported by any anchoring force. The governing equations describing soil stresses as well as pore water pressure under periodic wave loadings are solved numerically using a Boundary Integral Equation Method. Numerical results of pore water pressure amplitude around the pipeline are compared with laboratory data. Agreement is fairly good. Sensitivities of pore water pressure response to different soil and fluid parameter are also examined. It is found that with realistic parameters the uplift seepage force on the pipeline can be as much as 60% of the displaced water weight if the pipeline is located in the pore water pressure boundary layer.

[1]  Hermann Moshagen,et al.  Wave Induced Pressures in Permeable Seabeds , 1975 .

[2]  M. Biot Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range , 1956 .

[3]  A. Mynett,et al.  Wave-induced stresses in a saturated poro-elastic sea bed beneath a rectangular caisson , 1982 .

[4]  J. Rice,et al.  Some basic stress diffusion solutions for fluid‐saturated elastic porous media with compressible constituents , 1976 .

[5]  Philip L.-F. Liu Damping of Water Waves over Porous Bed , 1973 .

[6]  H. Bolton Seed,et al.  LIQUEFACTION OF SATURATED SANDS DURING CYCLIC LOADING , 1966 .

[7]  M. Biot THEORY OF ELASTICITY AND CONSOLIDATION FOR A POROUS ANISOTROPIC SOLID , 1955 .

[8]  Hans Sellmeijer,et al.  On the response of a poro-elastic bed to water waves , 1978, Journal of Fluid Mechanics.

[9]  D. E. Kenyon,et al.  A mathematical model of water flux through aortic tissue. , 1979, Bulletin of mathematical biology.

[10]  E. Wilson,et al.  FINITE-ELEMENT ANALYSIS OF SEEPAGE IN ELASTIC MEDIA , 1969 .

[11]  A. Cheng,et al.  Boundary integral equation method for linear porous‐elasticity with applications to soil consolidation , 1984 .

[12]  R. Dalrymple,et al.  Water Waves Propagating Over a Deformable Bottom , 1977 .

[13]  M. Biot Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range , 1956 .

[14]  Chiang C. Mei,et al.  A boundary layer theory for Rayleigh Waves in a porous, fluid-filled half space , 1983 .

[15]  R. H. Bennett,et al.  Ambient and dynamic pore pressures in fine-grained submarine sediments: Mississippi Delta , 1979 .

[16]  A. Love A treatise on the mathematical theory of elasticity , 1892 .

[17]  J. A. Putnam Loss of wave energy due to percolation in a permeable sea bottom , 1949 .

[18]  Wave‐Induced Pressure under Gravity Structure , 1985 .

[19]  O. Madsen,et al.  Wave-induced pore pressures and effective stresses in a porous bed , 1978 .

[20]  Chiang C. Mei,et al.  Wave-induced responses in a fluid-filled poro-elastic solid with a free surface : A boundary layer theory , 1981 .

[21]  A. Cheng,et al.  Boundary integral equation method for linear porous‐elasticity with applications to fracture propagation , 1984 .

[22]  E. Wilson,et al.  Flow of compressible fluid in porous elastic media , 1973 .

[23]  Chiang C. Mei,et al.  Wave-induced stresses around a pipe laid on a poro-elastic sea bed , 1981 .