ABSTRACT

In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as incompressible and inviscid. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition. Dispersion relationship is also presented with closed form solution. Wave crest height and wave trough depth with respect to wave length and water depth is presented with closed form solution. Breaking wave height is presented with closed form solution. The Stokes criterion for wave breaking has been proved in this paper. The wave profile satisfying non-linear kinematic free surface boundary condition is expressed with an implicit function in this paper. In order to express the wave profile with an explicit function, a useful function is introduced in the paper.

Keywords:
particle velocity, equation, dispersion relationship, water particle velocity, cosh, dynamic profile, boundary condition, wave height, wave theory, reservoir characterization
Subjects:
Reservoir Characterization, Information Management and Systems
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2013. International Society of Offshore and Polar Engineers
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