关于部分变元的非常稳定性

本文利用极限方程的方法研究微分方程关于部分变元的多种非常稳定性,讨论了给定方程与其积限方程的非常稳定性的关系。     

不同气候情景下华北平原蒸发与径流时空变化分析

基于中国气象局国家气候中心生成的IPCC第四次评估报告中23种气候模式的情景集成数据,采用Schreiber公式和Thornthwaite方法计算实际蒸发和径流,分析了2001-2060年SRES A1B、A2和 B1这3种情景下,华北平原气温、降水、蒸发与径流的时空变化。结果表明：未来华北平原气温呈升高趋势,且冬半年升温幅度大于夏半年;降水亦呈增加趋势,而冬半年降水增加幅度小于夏半年;与此相应,华北平原蒸发和年径流呈增加趋势,增幅和空间差异随时间推移而增大,到2041-2060年蒸发将上升7.1%～9.4%,径流将增加8.7%～10.7%。     

Spatiotemporal variation and driving forces of reference evapotranspiration in Jing River Basin,northwest China

Evapotranspiration is an important component of the hydrological cycle, which integrates atmospheric demands and surface conditions. Research on spatial and temporal variations of reference evapotranspiration (ET_o) enables understanding of climate change and its effects on hydrological processes and water resources. In this study, ET_o was estimated by the FAO‐56 Penman–Monteith method in the Jing River Basin in China, based on daily data from 37 meteorological stations from 1960 to 2005. ET_o trends were detected by the Mann–Kendall test in annual, seasonal, and monthly timescales. Sensitivity coefficients were used to examine the contribution of important meteorological variables to ET_o. The influence of agricultural activities, especially irrigation on ET_o was also analyzed. We found that ET_o showed a decreasing trend in most of the basin in all seasons, except for autumn, which showed an increasing trend. Mean maximum temperature was generally the most sensitive parameter for ET_o, followed by relative humidity, solar radiation, mean minimum temperature, and wind speed. Wind speed was the most dominant factor for the declining trend in ET_o. The more significant decrease in ET_o for agricultural and irrigation stations was mainly because of the more significant decrease in wind speed and sunshine hours, a mitigation in climate warming, and more significant increase in relative humidity compared with natural stations and non‐irrigation stations. Changes in ET_o and the sensitivity coefficient of meteorological variables in relation to ET_o were also affected by topography. Better understanding of ET_o response to climate change will enable efficient use of agricultural production and water resources, which could improve the ecological environment in Jing River Basin. Copyright © 2015 John Wiley & Sons, Ltd.     

基于矩形网格的有限差分走时计算方法

对于大多数速度场，地震波沿射线传播的初至波走时，可以用有限差分外推的方法在二维或三维数值网格上计算出来. 在保证精度的条件下，为提高计算效率和适应性，本文推导了基于任意矩形网格和局部平面波前近似的有限差分初至波走时计算方法. 另外，该方法对首波和散射波做了合适的处理，而且不会碰到传统射线法存在的阴影区和焦散区等问题. 简单模型和复杂的Marmousi模型试算的结果表明，该方法精度较高并适用于强纵、横向变速的复杂介质. 基于该方法的Kirchhoff叠前深度偏移, 在主要构造和目的层位置的成像效果上基本达到了波动方程法叠前深度偏移的位置成像效果. 由于未考虑续至波等有效能量，在成像的保幅性上不如波动方程法叠前深度偏移的效果，但其计算效率则明显高于全格林函数法和波动方程法.      

复杂地质构造波动方程数值模拟

利用全声波方程进行地震波场的数值模拟，虽然可以计算全声波波场值，但是也常常会出现层间多次波，给资料解释造成一定的困难。作者在本文中根据无反射声波方程，采用有限差分数值解法，实现了自激自收时间剖面的制作，避免了层间多次波的产生。本方法不但允许速度有纵向变化，而且允许速度有横向变化，这使得模拟复杂地质构造的地震响应成为可能。实际计算结果表明，该方法是一种行之有效的自激自收时间剖面的计算机数值模拟方法。     

Evaluation of rainfall-runoff performance using the stochastic integral equation method

The stochastic integral equation method (S.I.E.M.) is used to evaluate the relative performance of a set of both calibrated and uncalibrated rainfall-runoff models with respect to prediction errors. The S.I.E.M. is also used to estimate confidence (prediction) interval values of a runoff criterion variable, given a prescribed rainfall-runoff model, and a similarity measure used to condition the storms that are utilized for model calibration purposes.Because of the increasing attention given to the issue of uncertainty in rainfall-runoff modeling estimates, the S.I.E.M. provides a promising tool for the hydrologist to consider in both research and design.     

Source-independent wave-equation based microseismic source location using traveltime inversion

A new source location method using wave-equation based traveltime inversion is proposed to locate microseismic events accurately. With a sourceindependent strategy, microseismic events can be located independently regardless of the accuracy of the source signature and the origin time. The traveltime-residuals-based misfit function has robust performance when the velocity model is inaccurate. The new Fréchet derivatives of the misfit function with respect to source location are derived directly based on the acoustic wave equation, accounting for the influence of geometrical perturbation and spatial velocity variation. Unlike the mostly used traveltime inversion methods, no traveltime picking or ray tracing is needed.Additionally, the improved scattering-integral method is applied to reduce the computational cost. Numerical tests show the validity of the proposed method.     

VTI介质纯P波混合法正演模拟及稳定性分析

各向异性介质纯P波方程完全不受横波的干扰,在一定程度上可以减缓由于介质各向异性引起的数值不稳定,本文推导了具有垂直对称轴的横向各向同性(VTI)介质纯P波一阶速度-应力方程.由于纯P波方程存在一个分数形式的伪微分算子,无法直接采用有限差分法求解.针对该问题,本文采用伪谱法和高阶有限差分法联合求解波动方程,重点分析了混合法求解纯P波一阶速度-应力方程的稳定性问题,并给出了混合法求解纯P波方程的稳定性条件.数值模拟结果表明纯P波方程伪谱法和高阶有限差分混合法能够进行复杂介质的正演模拟,在强变速度、变密度的地球介质中仍然具有较好的稳定性.     

共线条件方程在建筑物比高求解中的应用

高度信息作为人工地物的重要属性信息,在军事和民用上都具有很高的利用价值。针对人工地物高度提取的发展现状及存在的主要问题,对单张航片利用共线条件方程确定人工地物比高方法的原理和技术进行了研究,并进行了实验,验证了方法的可行性。     

基于广州实证的后改革时代中国城市住房权问题

社会公正是当前地理学的一个热点也是传统研究课题。住房问题往往是社会公正研究和实践的重点案例。中国住房制度改革之后,中国住房拥有率及人均住房面积均大幅度提高。然而在住房分配的过程中,不平等和不公正现象时有发生。如何区别平均和公正,如何看待中国住房改革中的社会公平与不公共存的现象,是了解中国新城市现象的一个重要途径。本文从近期西方政治学和地理学关于住房权（housing rights）、社会公正以及城市权利等文献的讨论出发,通过在广州的实证研究,运用结构方程模型和Pratt指数对涉及住房权主要方面的住房分异的发生途径及其公正性进行综合分析。实证研究说明在住房分配领域,存在着制度因素延续下来所导致的分异。一些制度因素已经转化为市场因素,直接或间接影响个人居住条件和住房所有权的获得,并通过后者进一步影响住房分异。与此同时,纯粹市场因素的影响则相对薄弱。上述结论有助于了解当前中国城市住房权的核心问题,认识社会公正的发展前景,以及探寻减少社会不公正的制度利器。