Orthogonality and mean squares of the vector fields given by spherical cap harmonic potentials

It is well known that the vector fields derived from spherical harmonics are orthogonal over the sphere. It is now shown that the vector fields derived from spherical cap harmonics are orthogonal over the cap, to the same extent as the cap potentials are, and expressions are given for their mean squares.     

乡村居民地半解析法地籍测图的研究与实践

作文详细阐述了笔者设计的乡村居民地半解析法地籍测图的工作过程、数据处理方法、绘图方法,为乡镇土地管理部门从事本行政区域的地籍测绘工作探讨了一条简便、实际、可行的途径。     

地质统计学K-阶套合球状模型参数的自动模拟

本文以地质统计学参数估计的线性规划法为基础,推导出ｋ－阶套合球状模型参数的计算机自动化模拟算法,用ＭｉｃｒｏｓｏｆｔＶｉｓｕａｌＢａｓｉｃ开发出了相应的参数模拟计算机程序。使ｋ－阶套合球状模型的参数模拟实现了自动化     

地球密度模型研究进展与热平衡估计

地球科学最新研究成果表明,地表物质运动与核幔边界的大规模能量交换过程密切相关,地球动力系统平均温度的演变具有由高到低的整体趋势。越来越多的证据表明,地球内部处于非绝热状态,正在持续进行的地球冷却过程将对地表环境产生重大影响。人类对地球内部热源的开发尽管可以使地表短时期迅速增强,但也造成地球内部长期加速变冷的严重后果。     

平面Radon变换的反演公式

本文借助球面平均法和Ｈｉｌｂｅｒｔ空间算子理论,给出了平面上Ｒａｄｏｎ变换的反演公式,此公式是具体的、构造性的,便于数值计算,或者进一步探讨重建图象的性质。     

中国近海海面地形及形成机制研究

用几何水准法、水文法、重力—卫星测高法三种不同方法求得了中国近海海面地形,给出了中国近海海面地形数学模型和中国近海海面地形图,探讨了中国近海海面地形形成机制,包括海洋水文因素、大气压力影响,以及太平洋北赤道流的影响。     

Use of Spherical Trigonometry to Compute Near-Well Flow through Irregular Grid Block Boundaries

This paper concerns the computation of near-well flow in numerical reservoir simulation with unstructured grids. In particular, it uses spherical trigonometry to derive analytical expressions for the flow towards a well modeled as either a number of point sources or a constant-flux line source. The expression for the point source representation is based on projections of the grid block boundaries on spheres with unit radius around the sources. The expression for the line source is based on projection on a prolate spheroid. The computation of the surface area is done through transformation to prolate spheroidal coordinates and subsequent projection on a sphere at infinity. The point source expression for a single source is exact for grid block boundaries with straight edges; the line source expression is an approximation. Both representations are fully volume conserving, such that the sum of the fluxes through the grid block boundaries surrounding a source adds up exactly to the total source flow rate. Both representations can be used to accurately model complicated wells in the form of segments. The point source representation is simpler to implement and not necessarily less accurate than the line source representation.     

Sampling‐surface orientation and clast macrofabric in periglacial colluvium

To isolate the influence of sampling‐surface orientation on the macrofabric of periglacial colluvial deposits, clast orientation measurements were obtained from seven paired horizontal and vertical exposures in turf‐banked solifluction lobes on Niwot Ridge, Colorado Front Range. Most samples form moderately strong, upslope‐plunging clusters aligned with the local slope orientation. Fabrics obtained from vertical faces were stronger than those from horizontal exposures in six of the pairs. Near‐horizontal sampling surfaces yield less biased results than vertical exposures, owing to operator perceptions, procedural difficulties, and the relative thinness of the layer affected by colluvial processes. Sampling procedures must be standardized before comparative studies of colluvium can yield reliable results. Copyright © 2001 John Wiley & Sons, Ltd.     

青藏高原山地系统动力学模型研究

以地球系统科学为研究思路。研究了青藏高原山地系统各圈层相互作用的统一构造动力模型、力学模型和数值模拟等。关于青藏高原山地系统动力学特征。主要研究高原山地系统现今构造应力场演化特征和高原山地系统统一构造动力模型。认为均起源于喜马拉雅运动期印度一欧亚板块碰撞引发的统一的板块汇聚动力体系和各圈层与之相应的一系列运动学和动力学过程。关于青藏高原山地各圈层力学系统描述，主要把山地各圈层块体质点作为一个力学系统来描述。求解速度向量、位移向量、密度场、温度场、应力张量等物理量和状态空间。最后求解运动方程。关于青藏高原山地系统的非稳定性问题。将给定的载荷历史分成许多小的增量步。对每一个增量步求解一个非线性边值问题。使用失稳量准则判断山地系统的稳定性。关于青藏高原山地各圈层多体系统力学描述。青藏高原是由多圈层多块体不同物质结构组成的。皆可用若干塑性、流变体、流体和弹性组成的系统模型予以有效地描述。主要研究内容有：高原山地系统碰撞隆升的分类和现象、山地主动碰撞构造体特性和山地被动碰撞体(靶体)特性等力学模型。文中初步分析和推断了演变的历史与现状。探讨了青藏高原隆升的动力学过程。