Wave dispersion equation in a porous seabed |
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| Authors: | D S Jeng |
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| Institution: | School of Engineering, Griffith University, Gold Coast Campus, PMB 50 Gold Coast Mail Centre, Qld. 9726, Australia |
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| Abstract: | The wave dispersion equation has played a very important role in the development of ocean surface wave theories. The evaluation of the length of a water wave is an essential example of solving the dispersion relation. Conventional ocean wave theories have been based on an assumption of a rigid impermeable seabed. Thus, the conventional wave dispersion equation can only be used in the case of a wave propagating over a rigid impermeable seabed. For waves propagating over a porous seabed (such as a sandy bed), the conventional dispersion relation is no longer valid because of the absence of the characteristics of the porous seabed. The objective of this study is to establish a new wave dispersion equation for waves propagating over a porous seabed. Based on the new relation, the effects of a porous seabed on wave characteristics (such as the wavelength and wave profile) are discussed in detail. |
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| Keywords: | Wave dispersion equation Porous seabed Wavelength Pore pressure |
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