We present a model that concerns microseisms in the period range between 7 and 9 s. In this modelling we have incorporated the effects of incident and reflected sea waves along the shoreline. A relationship between the phenomena of wave reflection along the shoreline and microseisms is suggested by this study. In addition, the far‐field microseismic energy computed from this model is considerably larger than our two previous calculations (Darbyshire & Okeke 1969; Okeke 1972) and, interestingly, closer to that obtained from recent measurements (Trevorrow et al. 1989). A possible explanation is that the present model incorporates the activity of the wave train approaching the shoreline from a wide range of directions. Thus, it is a generalization of the normal incident theory originally proposed by Darbyshire & Okeke (1969) and employed in our two previous calculations (Darbyshire & Okeke 1969; Okeke 1972).
This model also estimates the distance from the shoreline over which the approaching shallow water waves are expected to acquire measurable bottom pressure and confirms that this distance is proportional to the wave period (Fig. 3).
3
The ratio of the energy spectrum of microseisms and sea waves as a function of wave period. (a) Observed values Darbyshire & Okeke (1969); (b) theoretical calculations Darbyshire & Okeke (1969); (c) theoretical calculations Okeke (1972); (d) theoretical calculations (this paper); (e) variation of shelf width with wave period.
Furthermore, by assuming that the elastic parameters in the far field are functions of the vertical coordinate only, the depth dependence of frequency bandwidth and the associated spectral energy peak are calculated. The results depict reasonably well the possible effects of structural layering below the Earth’s surface in the locality.
Abstract. In this work, the deterministic model which describes the dynam-ics of interaction between twolegumes has been defined. The motivation and benefits of stabilizing this system of complex model equations of continuous nonlinear first order ordinary differential equations in the field of agriculture has been clearly well posed. We will expect this pioneering research to form a bench mark collaboration between modellers and crop science experts.
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