求解弹性波动方程的频率域近似解析离散化波场模拟方法     

郎超  仇楚钧  刘少林  申文豪  李小凡  徐锡伟 《地球物理学报》2021,64(8):2838-2857

为提高频率域弹性波动方程数值求解的计算效率,本文引入近似解析离散化(NAD)方法将其进行数值离散并得到大型线性代数方程组.在详细分析了相应系数矩阵的稀疏分块结构与数学性质之后,本文提出采用不精确旋转分块三角预处理子加速Krylov子空间迭代方法来快速求解该线性方程组,并利用数值试验证实这种方法在弹性波场模拟方面的数值效率.通过与另外两种经典数值方法(常规有限差分方法和交错网格有限差分方法)对多种介质模型进行波场模拟、数值频散分析以及与解析解的波形对比,NAD方法显示了其在压制数值频散和提高计算效率方面的优势以及对复杂介质模型弹性波场数值模拟的有效性.  相似文献   

DOMINANT PHYSICAL PROCESSES ASSOCIATED WITH PHASE DIFFERENCES BETWEEN SURFACE RAINFALL AND CONVECTIVE AVAILABLE POTENTIAL ENERGY     

李小凡 《热带气象学报(英文版)》2009,15(2):148-154

A lag correlation analysis is conducted with a 21-day TOGA COARE cloud-resolving model simulation data to identify the phase relation between surface rainfall and convective available potential energy (CAPE) and associated physical processes. The analysis shows that the maximum negative lag correlations between the model domain mean CAPE and rainfall occurs around lag hour 6. The minimum mean CAPE lags mean and convective rainfall through the vapor condensation and depositions, water vapor convergence, and heat divergence whereas it lags stratiform rainfall via the transport of hydrometeor concentration from convective regions to raining stratiform regions, vapor condensation and depositions, water vapor storage, and heat divergence over raining stratiform regions.  相似文献   

厚覆盖层暂态饱和边坡稳定性分析方法     

蒋中明  李小凡  袁涛  伍忠才  曾远 《岩土力学》2018,39(12):4561-4568

针对暂态水压力影响下的厚覆盖层边坡稳定性分析问题,基于不同暂态饱和区形式,提出了暂态水压力的计算方法,推导了考虑暂态水压力影响的边坡稳定性分析的Bishop方法,并利用VB语言编制了相应分析程序。结合汝郴高速某段覆盖层边坡,对是否考虑暂态水压力影响两种不同计算工况下的边坡稳定性进行了分析。研究结果表明：暂态饱和区厚度越大,边坡安全系数越小;暂态饱和区厚度相同条件下,受暂态水压力影响的边坡安全系数更低;随着暂态饱和区的扩大,边坡安全系数降低率保持扩大趋势,最高达39.79%;边坡潜在滑动面位置在暂态饱和区厚度大于4 m后基本与湿润锋位置相切,深度呈增加趋势。  相似文献   

EVALUATION OF CONVECTIVE-STRATIFORM RAINFALL SEPARATION SCHEMES BY PRECIPITATION AND CLOUD STATISTICS   总被引：1，自引：1，他引：0  

沈新勇  刘佳  李小凡 《热带气象学报(英文版)》2012,18(1):98-107

In this study,two convective-stratiform rainfall partitioning schemes are evaluated using precipitation and cloud statistics for different rainfall types categorized by applying surface rainfall equation on grid-scale data from a two-dimensional cloud-resolving model simulation.One scheme is based on surface rainfall intensity whereas the other is based on cloud content information.The model is largely forced by the large-scale vertical velocity derived from the Tropical Ocean Global Atmosphere Coupled Ocean-Atmosphere Response Experiment(TOGA COARE).The results reveal that over 40% of convective rainfall is associated with water vapor divergence,which primarily comes from the rainfall type with local atmospheric drying and water hydrometeor loss/convergence,caused by precipitation and evaporation of rain.More than 40% of stratiform rainfall is related to water vapor convergence,which largely comes from the rainfall type with local atmospheric moistening and hydrometeor loss/convergence attributable to water clouds through precipitation and the evaporation of rain and ice clouds through the conversion from ice hydrometeor to water hydrometeor.This implies that the separation methods based on surface rainfall and cloud content may not clearly separate convective and stratiform rainfall.  相似文献   

SENSITIVITY OF PRECIPITATION TO SEA SURFACE TEMPERATURE AND ITS DIURNAL VARIATION: A PARTITIONING ANALYSIS BASED ON SURFACE RAINFALL BUDGET     

周玉淑  李小凡 《热带气象学报(英文版)》2012,18(3):369-376

The sensitivity of precipitation to sea surface temperature(SST) and its diurnal variation is investigated through a rainfall partitioning analysis of two-dimensional cloud-resolving model experiments based on surface rainfall budget.For all experiments,the model is set up using zero vertical velocity and a constant zonal wind and is integrated over 40 days to reach quasi-equilibrium states.The 10-day equilibrium grid-scale simulation data and a time-invariant SST of 29°C are used in the control experiment.In the sensitivity experiments,time-invariant SSTs are 27°C and 31°C with an average value of 29°C when the minimum and maximum values of diurnal SST differences are 1°C and 2°C,respectively.The results show that the largest contribution to total rainfall is from the rainfall with water vapor convergence and local atmospheric drying and hydrometeor gain/divergence(~30%) in all experiments.When SST increases from 27°C to 29°C,the contribution from water vapor convergence decreases.The increase of SST reduces the contribution of the rainfall with water vapor convergence primarily through the decreased contribution of the rainfall with local atmospheric drying and hydrometeor gain/divergence and the rainfall with local atmospheric moistening and hydrometeor loss/convergence.The inclusion of diurnal variation of SST with the diurnal difference of 1°C decreases the rainfall contribution from water vapor convergence primarily through the decreased contribution of the rainfall with local atmospheric moistening and hydrometeor loss/convergence.The contribution of the rainfall from water vapor convergence is barely changed as the diurnal difference of SST increases from 1°C to 2°C.  相似文献   

铁橄榄石高温高压流变性的实验研究     

赵永红  李小凡李扬　M.Zimmerman　D.L.Kohlstedt 《岩石学报》2007,23(11):2927-2932

通过高温高压实验研究了铁橄榄石集合体的流变性.首先,利用高精度的Paterson气体介质变形装置对铁橄榄石集合体Fe2SiO4进行了高温三轴压缩蠕变试验.变形试验条件为:温度1273～1423K,围压300MPa,差应力10～250MPa,应变率10-7～10-4s-1,试件的最大变形量不超过20%.利用三维非线性拟合方法对蠕变试验数据进行分析,得到铁橄榄石集合体的微观变形机制为扩散域和位错域,扩散域的应力指数为1左右.位错蠕变域中,干燥铁橄榄石集合体的应力指数为5.4.活化能为781kJ/mol;含水铁橄榄石集合体的应力指数为3.4,活化能为516kJ/mol.实验结果表明,含水时铁橄榄石的流变强度比干燥时小一个数量级.将实验结果与铁橄榄石单晶的强度进行对比,发现铁橄榄石集合体的流变强度比铁橄榄石单晶的强度高.从而得到了铁橄榄石集合体高温高压流变性(强度)的初步试验结果.  相似文献   

含流体裂缝介质中地震波场数值模拟   总被引：1，自引：5，他引：1       下载免费PDF全文

程冰洁  李小凡  徐天吉 《地球物理学进展》2007,22(5):1370-1374

油气勘探开发实践证明,裂缝常常是油气藏存储的空间或运移的通道,因此,裂缝各向异性介质中地震波场的研究越来越倍受关注,国内外很多岩石物理学者、地球物理专家等对裂缝信息的描述提出了很多理论认识与方法技术.本文根据Eshelby-Cheng各向异性裂缝介质模型理论,求取各向异性裂缝介质的弹性参数,并建立Eshelby-Cheng各向异性裂缝介质的波动方程,利用时间错格伪谱法对含流体裂缝介质进行数值模拟,模拟结果表明,采用时间错格伪谱法能有效解决各向异性介质的波场传播,利用时间错格有限差分算子替代普通的差分算子来求解时间导数,利用快速傅氏变换求解空间导数,大大提高了正演模拟的计算精度与计算效率.并且与各向同性介质相比,地震波在含流体裂缝各向异性介质中的传播要复杂得多,各向同性介质层中的波是纯的,其横波不会发生分裂,而在各向异性介质层中,横波将发生分裂.  相似文献   

一次梅雨锋暴雨过程中多尺度能量相互作用的研究II.实际应用     

沙莎  沈新勇  李小凡 《大气科学》2018,42(5):1119-1132

本文利用中国自动站与CMORPH（Climate Prediction Center Morphing technique for the production of global precipitation estimates）融合的逐时降水量0.1°网格数据集资料挑选出一次典型的梅雨锋暴雨个例,运用WRF中小尺度模式进行模拟,对模拟得到的高分辨率结果进行Barnes滤波,最后将滤波结果代入动能和位能方程中,目的是定量地分析各个尺度能量的变化以及它们之间的相互作用对暴雨强度的影响。研究发现:模式模拟的降水过程和强度与实况较为吻合,推导的能量方程适用于这次暴雨过程。三种尺度能量之间的相互作用包含了各种跨尺度能量的相互作用。在整个暴雨过程中,跨尺度之间的斜压能量转换包括位能向动能的能量转换和动能向位能的能量转换。同尺度之间的斜压能量转换总是单向的,且量值较大,动能的强度主要靠位能向动能的能量转换来维持。斜压能量转换的多少影响着暴雨的强弱。大尺度斜压能量转换在中高层比较强,中尺度斜压能量转换在低层较强,尤以β中小尺度系统变化最为显著,β中小尺度系统扰动是影响暴雨强度的关键系统。风切变的大小影响各尺度动能之间的能量转换。温度或位温梯度的大小影响各尺度位能之间的能量转换。位能与动能之间的能量转换主要与各尺度垂直速度和温度的垂直分布有关,暖空气上升冷空气下沉是各个尺度位能向动能转换的主要过程。  相似文献   

CONVECTIVE-STRATIFORM RAINFALL PARTITION BY RADIANCE-DERIVED CLOUD CONTENT: A MODELING STUDY     

沈新勇  梅海霞  庆涛  李小凡 《热带气象学报(英文版)》2016,22(2):182-190

A new scheme that separates convective-stratiform rainfall is developed using threshold values of liquid water path (LWP) and ice water path (IWP). These cloud contents can be predicted with radiances at the Advanced Microwave Sounding Unit (AMSU) channels (23.8, 31.4, 89, and 150 GHz) through linear regression models. The scheme is demonstrated by an analysis of a two-dimensional cloud resolving model simulation that is imposed by a forcing derived from the Tropical Ocean Global Atmosphere Coupled Ocean–Atmosphere Response Experiment (TOGA COARE). The rainfall is considered convective if associated LWP is larger than 1.91 mm or IWP is larger than 1.70 mm. Otherwise, the rainfall is stratiform. The analysis of surface rainfall budget demonstrates that this new scheme is physically meaningful.  相似文献   

DIURNAL CYCLES OF CONVECTIVE AND STRATIFORM PRECIPITATION OVER NORTH CHINA DURING SUMMER     

朱浩然  李小凡 《热带气象学报(英文版)》2019,25(3):324-335

The diurnal cycles of precipitation over north China during summer in four strong rainfall years are examined using two-dimensional cloud-resolving modeling data. The diurnal signals are analyzed in terms of precipitation budget, fractional rainfall coverage and rain intensity over convective and stratiform rainfall area. The analysis of precipitation budget shows that the diurnal cycles of convective and stratiform precipitation mainly correspond respectively to those of water vapor convergence and transport of hydrometeor from convective rainfall area to stratiform rainfall area in 1964, 1994 and 1995, whereas they mainly correspond to those of water vapor convergence in 2013. The diurnal cycles of convective and stratiform precipitation are mainly associated with those of rain intensity in 1964, 1994 and 1995. In 2013, the diurnal cycle of stratiform precipitation is mainly related to that of fractional rainfall coverage over stratiform rainfall area. The multiple peaks of convective precipitation mainly correspond to the rain intensity maxima associated with strong water vapor convergence.  相似文献