APPLICATIONS OF DIFFERENTIAL GEOMETRY TO QUANTITATIVE ANALYSIS OF STRUCTURAL GEOLOGY
-
摘要: 阐述了在构造地质学定量研究中引入微分几何学的必要性,并讨论了在地质构造定量研究中的具体应用及相关的数值计算方法.微分几何为定量描述地质构造形态、建立精确的数学解析模型提供了基础,是深入定量研究地质构造形态及其变化的重要数学工具.在前人工作基础上,为更方便地与其他先进的技术和方法相结合,总结了地质构造的数学建模与重构、计算机自动分析计算、三维可视化与运动仿真.具体可以应用于裂缝预测、构造面形变分析、褶皱形态分类、隐藏断层探测,以及矿床和油气藏的预测研究等方面.Abstract: This paper elucidates the necessity of introducing differential geometry in the quantitative study of structural geology and discusses its applications in the quantitative study of structural geology and relevant numerical calculation method.Differential geometry provides a basis for the quantitative description of the geometry of geological structure and construction of a precise mathematical analytical model and is also an important mathematical tool for the indepth quantitative study of the geometry of geological structure and its variations.In order to combine differential geometry with other advanced techniques and methods more conveniently,on the basis of previous studies,the authors summarize the construction and reconstruction of a mathematical model for geological structure,computer-aided automatic analysis and calculation and 3D visualization and movement simulation.It can be applied to the forecasting of fractures,analysis of structural plane deformation,morphological classification of folds,detection of hidden faults and evaluation and study of mineral deposits and oil/gas accumulations.
-
-
计量
- 文章访问数: 763
- PDF下载数: 8
- 施引文献: 0
下载: