目前利用波浪作用平衡方程式為基礎發展的風浪數值模式，幾乎沒有考慮波浪受透水效應的影響。為了使模式應用更加廣泛，本文以Hsu et al. (2005) 所提出的 WWM (Wind Wave Model) 風浪模式為基礎，並根據Lan et al. (2015) 所提出具有含透水效應影響之緩坡方程式理論，在動量平衡方程式 (action density equation) 中加入能量消散係數的方法，本文提出一個半經驗公式，求出透水效應能量消散係數及給予權重值，導入WWM風浪模式源項中，藉此改良WWM風浪模式，並用以描述風浪模式考慮透水效應的影響。本文模式能有效模擬波浪受任意厚度的透水介質的影響。本文利用三種透水底床及二種透水潛堤的實驗案例進行模式驗證，並探討透水效應能量消散係數計算之權重值建議大小，最後探討模式計算線性摩擦因子對波浪減衰的影響。本文同時在台灣西部四個淺水海域進行模擬考慮透水底床效應的影響分析，由模擬結果可以得知，當該區域水深小於10 m時，波浪確實會受到透水層的影響而減衰。本文在東沙島海域將海草視為透水介質，探討波浪受海草的影響所造成減衰的程度。

The phase-averaged model which is based on wave action equation (WAE) is extended to include the porous effect on wave energy dissipation in this paper. The Wind Wave Model (WWM) proposed by Hsu et al. (2005) is a phase-averaged model. For improving the model, the wave dissipation coefficient of porous media is incorporated into the WWM model. The coefficient is obtained from the analysis mild-slope equation proposed by Lan et al. (2015) to add the porous effect in the WWM model. Three experiments of permeable bed and two experiments of submerged porous structure to validate the model skills. The weighting factor of wave dissipation coefficient of porous media was discussed. The other way to calculate the linear friction coefficient is proposed in this paper. Wave decay due to the linear friction coefficient was investigated. Four typical real sites were investigated by using the present model. Numerical results show that the wave will damp by the effect of porous bed in Taiwan west near shore (depths less 10 meters) of Taiwan. Using the present model to simulate the seagrass regarded as permeable medium near Dongsha island, and numerical results show that the wave will damp.

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