Using piecewise linear interpolations in spherical harmonic analysis

In this paper an alternative approach to spherical harmonic analysis is investigated which uses piecewise linear interpolations (PLIs) to replace conventional block mean values (BMVs). Detailed formulations for using PLIs in spherical harmonic analysis are systematically developed. Research shows that BMVs give rise to larger errors than PLIs. Error estimations for the two approaches are given, convincingly showing that PLIs yield much better results than BMVs. Many numerical examples are illustrated and numerically show that PLIs are more reliable and applicable than BMVs. Received: 8 October 1996 / Accepted: 6 March 1998     

Fronts and the boundary layer – some numerical studies

In this paper, we consider boundary-layer effects on atmospheric fronts. For this purpose we developed a dry, hydrostatic, two-dimensional numerical model with turbulence parameterized with the 1/2 -order eddy viscosity closure of Mellor and Yamada. In the surface layer we use Monin–Obukhov similarity and there is an interactive soil model to obtain lower boundary conditions for the atmospheric model. First, effects of turbulence are studied without thermal forcing at the surface and comparisons are made between inviscid and turbulent conditions. Sensitivity studies with respect to surface roughness are also performed. Subsequently we study effects of surface thermal forcing on fronts. The results show that, during summer, fronts display strong diurnal variation. Vertical velocities increase significantly during the day while gradients in temperature and vorticity across the front strengthen in the evening and at night. In winter the diurnal variation is much less pronounced. We attempt to find physical mechanisms responsible for such frontal behaviour and we compare our results with available observations.     

增厚大陆岩石层热边界层对流剥离的数值模拟

用数值模拟方法模拟了增厚大陆岩石层热边界层被对流地幔剥离并为软流层物质替代的动力学过程．结果表明,在初始温度分层分布、侧向均匀但存在微小热扰动的流场中,80km厚的增厚岩石层热边界层约需60Ma才能被完全剥离,剥离的速率微弱地依赖扰动的强度;在已建立好的流场中,同样厚度的增厚热边界层只需约10Ma就可被剥离．模拟结果暗示青藏高原地壳及岩石层在岩石层增厚和剥离以前就很热,其下伏地馒中可能已存在建立好的上地幔小尺度对流系统,而该尺度的对流系统很可能是由特提斯海洋岩石圈俯冲和消减诱发的     

利用阵列感应测井仪信号反演非均匀分布地层电导率

基于非线性积分方程,利用井轴上阵列感应成像测井仪（AIT）的单频测量信号,将变形玻恩（Bom）迭代方法用于地球物理测井反演,用正则化方法求出地层电导率分布。文中首先给出对于未知电导率分布的非线性积分方程,然后用玻恩近似使非线性积分方程线性化,求出电导率分布。在迭代过程中,数值模式匹配法用于求解阵列感应的正演问题。数值计算表明,用井轴上 AIT 的单频测量信号得到的成像结果与真电导率剖面分布吻合较好。     

碳酸盐岩压溶埋藏史和排烃数值模拟模型初步探讨

压溶作用产生的缝合线是烃富集的场所及初次运移的通道。碳酸盐岩烃源岩压溶过程,随着地层厚度和体积的减小,未熟和低熟油气会伴随孔隙流体一同排出。根据碳酸盐岩埋藏与压溶机理,提出了压溶的碳酸盐岩缝合线或溶解缝厚度恢复及其古厚度恢复的数学模型,同时结合碳酸盐岩基质和缝合线孔度随深度的变化曲线建立了定量计算碳酸盐烃源岩压溶排烃量的数学模型。上述数学模型的关键是确定压溶作用开始和结束的深度和时间,缝合线的厚度     

岩体中热-水-力耦合模型的新进展

本文综述了岩五力学中热－水－力耦合模型的发展,特别介绍了国际合作项目DECOVAIEX在这一方向上的新进展。     

A NUMERICAL MODEL OF SEDIMENT TRANSPORT IN HANDUN IRRIGATION DISTRICT

LABRIEFINTRODUCTIONOFRANDUNIRRIGATIONDISTRICTYellowRiverisoneofthemainWaterresourcesinNOrthChina.SincethefiftiesirrigationbydivertingwaterfromtheYellowforerdevelOPssteadily.AstheYdlowforerisaheavilysacmentsladenone,sedimentisdiVertedsimultaneouslywhenwaterisdiverted.HOwtoproperlytreatthedivertedsedimentboomesoneOfthekeyproblemsrestrichngthesustainingdevelOPmentofthCwaterresourcesinthatarea.LongchStanceconvopngsedimentisoneofthemainmeasuresfordealingwiththediVertedsedim…     

黄河李家峡典型岩坡变形破坏的水效应研究

黄河上游李家峡段高陡岩坡变形破坏受多种因素控制, 其中水的影响十分明显, 主要包括水的静态效应和动态效应两方面。本文从地下水的软化作用、库岸水压力或静水压力、孔隙水压力, 以及河流冲蚀、边岸再造、降雨引起的动水压力作用和水库泄水引起的动水压力作用等方面, 结合数值模拟手段分别研究了它们对岩坡变形破坏的影响程度和方式。     

有限区域数值预报模式并行计算试验

该文介绍了在ＳＰ２上实现的一个有限区域数值天气预报模式。模式采用温式时间差分格式，通过标准的区域分割方法实现模式的并行化，并在１６个节点的ＳＰ２上得到了一些初步结果。     

一粗细网格模式“三维嵌套”方案的设计及试验结果分析

该文简要地分析了水平侧边界嵌套技术中存在的问题，提出了“三维嵌套”的设想，并就不同范围对水平侧边界嵌套及三维嵌套方案进行了对比试验。试验结果表明：（１）三维嵌套方案对区域模式的降水及中、下层形势场的预报均有所改进；（２）嵌套区域越小，三维嵌套方案对预报的改进效果越明显；（３）三维嵌套方案对预报的改进随积分时间的增长而愈加显著