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This work presents a method for determining wave damping by vegetation fields. Other models found in the literature are restricted to plants which behave as rigid, fixed structures, therefore restricting their application to highly flexible plants such as Brachiaria subquadripora, commonly found along the margins of artificial lakes in Brazil. Conceptually, the physical phenomenon was divided in two processes. First, the resistance of a single stem is computed based on a mechanical model that uses the relative velocity between fluid and stem and an empirically adjusted drag coefficient, in order to compute the depth integrated, time averaged force on the stem. This expression is then introduced in the depth integrated, time averaged momentum equations for the fluid as a resistance term, and thus allowing to compute the wave height decay. The ensemble reaction against the waves is computed as a function of the average force on a single stem, of the spatial density of the plant individuals, and of an ensemble coefficient. The second part of this work will present the experimental procedures for calibrating the model and results. Key-words: gravitational waves; drag coefficient.

Amortecimento de Ondas Gravitacionais por Campos de Vegetação Flexível Parte I: Formulação do Modelo Teórico