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山地や谷地形などの地形の起伏や埋没谷などの基盤の不整形性を有する地盤では複雑な地震応答を示すことが指摘されている。このため様々な地震応答解析が行われているが複雑な応答が生じるメカニズムについ　ては依然として不明な点が多い本研究では地表面の起伏に着目し起伏が地震応答に与える影響を検討するための手法として境界要素法と摂動解法を組み合わせた新たな手法を展開したこの手法には地震応答を入射波と次数ごとの散乱波の寄与に分離できる利点があるまた本解析手法の適用例を示し地盤の応答関数が散乱波の寄与から解釈できること散乱波の寄与は散乱波の発生地点の地表面の法線方向とこの地点から地震応答を考える地点への方向との関係及び両地点の距離の二つの要因の影響を受けることなどを指摘したIt has been pointed out that the ground with an irregular surface causes complicated seismic responses. However, the process of generating this complex response is not yet clarified. In this study, boundary element-perturbation method has been developed to investigate scattering of seismic waves due to an irregular surface. This method is based on the boundary element method in frequency domain and perturbation technique employing the Neumann series. By using this method, the ground response can be separated into those induced by incident waves and scattered waves. Numerical results showed that the amplitudes of the scattered waves are affected by both distance and direction of the irregular surface to the observation points

BOUNDARY ELEMENT-PERTURBATION METHOD USING NEUMANN SERIES EXPANSION FOR SEISMIC RESPONSE ANALYSIS OF THE GROUND WITH IRREGULAR SURFACE