地球物理学及地球动力学研究与计算数学

地球物理学是20世纪,特别是在其中叶以后迅速发展起来的一门边缘科学.它以物理学、数学和信息科学为依托,并与地质学、地球化学密切结合;以研究和探索地球内部介质的属性、结构变异和深部物质与能量的交换、深层过程和动力学响应.这在促进社会与经济的发展和科学与技术的进步中占有重要地位,因为大量资源的需求和自然灾害的防范在人类生活和生存空间以及可持续发展中乃核心所在.在研究和探索这一系列的地球科学问题的进程中,首先必须通过地表进行高精度的地球物理探测、观测和高分辨率的数据采集,进而利用不同的数学方法反演计算地球内部介质的精细结构和其物理—力学过程与动力学响应.基于此,本文主要讨论了：1）地球物理学和地球动力学的发展趋势及特点;2）地球物理学的发展对计算数学的需求;3）地球动力学和数值模拟与计算地球物理学.最后对这些问题和基本导向进行了讨论.

Geophysics and geodynamics related to computational mathematics

Geophysics is a subject developed from the 20th century. It is based on physics, mathematics and information sciences, and combined with geology, geochemistry closely. Aimed at probing and studying the property and structure of earth interior media, exchange of substance and energy and deep process and dynamic response, it plays an important part in accelerating the development of our society economy, science and technology. Preventing of natural disaster and needs for natural resource are the core issues in the sustainable development of human being. In research and exploration of these geosciences problems, we must firstly acquire data with high resolution, and then invert the fine structure of the earth interiors and its mechanical process and dynamical response. This article discusses the development tendency and characters of geophysics and geodynamics, development of geophysics and its need for computational mathematics, mathematic simulation in geodynamics and computational geophysics.