中文摘要：

在矿山复杂地质体3维建模中，由于数据缺乏致使模型难以控制地质体空间边界特征，直接影响到模型的准确性和实用价值。借助边界虚拟钻孔方法来增加复杂地质体边界数据点密度，从而有效控制3维形体的边界，在一定程度上能缓解这一问题。以地层受断层破坏为例，分别就地层与断层4种典型空间分布组合特征下边界虚拟钻孔的确定方法进行研究，提出相应解决方案。边界虚拟钻孔和普通钻孔在数据存储方式、数据结构和表达方式等方面具有一致性，可用类似的处理方式，因而可以加快3维地质建模，提高建模精度。

英文摘要：

In 3D modeling for complicated geological bodies in mine, 3D models are always difficult to control the geological boundaries＇ characteristics due to insufficient data obtained from geological prospecting, thus, the accuracy and practical value of the models were directly influenced. By means of introducing the borderline virtual boreholes, this problem can be alleviated in some extents, because of the data point density on the borderlines of geological bodies was increased, and the borderlines were controlled efficiently. The borderline virtual boreholes were constructed by organizing the data points located on the borderline of different strata surfaces, named Virtual Borderline Controlling Points（VBCP）, in the same form with the real boreholes, and the VBCPs were acquired by spatial extrapolating according to the data from real boreholes. The determination methods for borderline virtual borehole were explored under the 4 representative cases. Case 1 ： when the strata surface and the faults surface are all planes, the VBCPs were obtained by intersecting the faults plane and the spatial beelines which were constructed by the points of the real boreholes on the strata surface, named borehole stratum surface points. Case 2： when the fault surface is a plane and the stratum surface is a curved surface, the VBCPs were acquired by constructing the quadratic spatial curves from borehole stratum surface points and extrapolating them to intersect to fault surface. Case 3 ： when the fault surface is a curved surface and the stratum surface is a plane, the axes of virtual borehole was got by intersection of the spatial vertical plane and the TIN borderhne on the fault surface, and then, the VBCPs were educed by intersecting the certain line segments which composed the axes to relative stratum planes. Case 4： when the fault surface and the stratum surface are all curved surfaces, the VBCPs were obtained by intersecting the fault surface and the stratum surface respectively with the vertical plane to form the