中文摘要：

目的研究均质土体滑坡（已知后缘裂缝位置，未知前缘剪出口位置）运动规律。方法基于能量守恒定律并运用变分原理。结果推导出了不考虑孔隙水压力和考虑孔隙水压力情况下均质土体滑动的轨迹方程、滑速方程和滑距方程；以甘肃盐锅峡八盘峡库区的黑方台焦家崖头黄土滑坡为例验证推导，结果与实际情况基本一致。结论推导出的均质土体滑坡滑动轨迹、滑速、滑距方程精度高，适应滑坡剪出口未知情况，有推广价值。

英文摘要：

Aim To study the movement regularity of homogeneous soil landslide with known trailing edge and undetermined shear opening. Methods Based on the law of conversation of energy, variational principle was used to derive the homogeneous soil＇s sliding trace, sliding velocity, and sliding distance equation under the condition of having and not having pore water pressure respectively. Results The Jiaojiayatou loess landslide, located in Heifangtai, Yongjing County, Gansu Province, China, was taken as an example to validate the equations derived. The computation agreed to reality; it confirmed the reliability and correctness of derived equations. Conclusion The derived sliding trace, sliding distance of homogeneous landslide is verified by the engineer practices as highly accurate, and it is applicable to landslides with unidentified shear opening. The equations have a wide applicable value.