中文摘要：

陕西省咸阳地区北部五县（长武县、彬县、旬邑、永寿、淳化）现有煤矿20余个，随着煤矿的开采和地下采空区的扩大，带来一系列次生地质灾害，严重威胁着当地居民生命财产安全。主要的地质灾害类型为：地面塌陷、地裂缝、滑坡、崩塌4种。分析了该地区地质灾害成因，在Jacob假定条件下推导出该地区计算灾害的数学模型，得出咸阳北五县煤矿地质灾害的3个控制要素为骨架弹性释水率、含水层厚度和地下水头降深，且其中地下水头降深是唯一可变因素，也是地质灾害控制的主要因素；另外可通过地下水位利用数学模型预测该地区地质灾害的发生与发展。

英文摘要：

For 5 counties （Changwu, Binxian, Xunyi, Yongshuu, Chunhua） in the northern part of Xianyang in Shaanxi, there exist more than 20 coal mines. With mining coal and the expansion of underground mined - out area, a series of geological disaster emerge, there are serious influences for life and property in the local residents. The main types of geological disasters are ground subsidence, ground fissures, landslide and Collapse. The paper analyzes the causes of geological disasters in this region, deduces mathematical model in the Jacob presumption, arrive at the conclusion which control of geological disasters are coefficent of storage, broadness of groundwater and drop quantity of groundwater which is the only variable factor and the major factor in geological disaster controlling. In addition, we can forecast the occurrence and development of geological disasters by mathematical models in the region.