In the homogeneous elastic half space, hemispherical canyon will affect the three-dimensional scattering and diffraction of plane waves, which will lead to the change of the ground near the canyon.

• 在单一介质的半空间中，半球形峡谷对地震波的三维散射和衍射会影响峡谷附近地表场地的变化，对于一般入射波，运用波函数展开法，会得出峡谷附近地表运动的精确解。