For water waves propagating over a permeable sea bottom, a one-dimensional modified mild-slope equation (MMSE) is briefly derived considering the effects of porous media and capable of describing a rapidly varying topography. The thickness of the porous layer is assumed to be infinite to reduce the computational cost. The present numerical model has been validated against Rojanakamthorn et al.’s (1989) experiment for waves transformation over a submerged permeable breakwater on an impermeable seabed, Mase and Takeba's (1994) numerical solution for waves over a porous rippled bed and Liu et al.’s (2020) analytical solution for wave propagation over a series of submerged trapezoidal bars, respectively. A good agreement is obtained. More computational results show that the wave energy will be dissipated in the permeable bottom, and it will achieve the maximal values near the positions of Bragg resonant reflection. The peak Bragg resonance increases with an increasing number of bars and bar slope. However, it decreases with an increase in the permeability, bar submergence, and slope of the seabed. Moreover, there exists a particular value of the bar width that maximizes the Bragg resonant reflection.

对于在可渗透海底传播的水波，考虑到多孔介质的影响并能够描述快速变化的地形，我们可以简要地推导出一维修正的缓坡方程 (MMSE)。多孔层的厚度被假定为无限大以减少计算成本。目前的数值模型已经根据 Rojanakamthorn 等人（1989 年）在不透水海床上的水下可渗透防波堤上的波浪变换实验、Mase 和 Takeba（1994 年）在多孔波纹床上的波浪数值解和 Liu 等人的实验得到验证.'s (2020) 分别用于波在一系列水下梯形棒上传播的解析解。获得了良好的协议。更多的计算结果表明波能会在渗透性底部消散，它将在布拉格共振反射位置附近达到最大值。峰值布拉格共振随着条形和条形斜率的增加而增加。然而，它随着渗透率、酒吧淹没和海床坡度的增加而减少。此外，存在使布拉格共振反射最大化的条宽的特定值。