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中文摘要：
局部地形条件对地震动放大有显著影响，解析法和数值法均可研究该问题，而解析法可以分析问题的物理本质和检验数值法的精度。将局部地形分为无盖层凹陷地形、有盖层凹陷地形（沉积谷地）、凸起地形和复合地形；分别综述了国内外关于各种局部地形对地震动影响的解析解研究成果。从以下4个方面分析和讨论当前研究成果：①研究方法；②计算介质模型；③各局部地形研究水平的不均衡；④研究存在不足之处。提出了未来发展方向：未来该领域应加强研究局部地形对Rayleigh波地震动响应规律，开展局部地形对多种波耦合入射下的地震动响应规律的研究，运用非线性波动理论研究局部地形对地震动的影响和开展三维非线性地震动数值模拟研究。
英文摘要：
Local topography conditions may have significant effects on the amplification of ground motion. It may be studied both by analytical and numerical methods. Nevertheless, analytical methods are essential for exploring the physical nature of particular problems, and for checking the accuracy of numerical methods when exact solutions can be found. Local topography is divided into canyons without alluvial layers, canyons with alluvial layers （alluvial valley ）, hill, and composite topography. The researches on the influence of local topography on ground motion are reviewed respectively. Four aspects of research achievements are analyzed and discussed as follows ： （ 1 ） research methods ; （ 2 ） computer medium model; （ 3 ） research level disequilibrium among different local topography;（~）research deficiency. Finally, some ideas and prospects are proposed for later research in this field： seismic response of local topography under the incidence of Raleigh waves is worth further studying; simultaneously seismic response of local topography under the coupling incidence of various waves should be carried out; ground motion of local topography should be studied by nonlinear wave theory and three dimensional nonlinear ground motion numerical simulation should be carried out.
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