A mixed finite element approach for viscoelastic wave propagation

In this paper, we are interested in the modeling of wave propagation in viscoelastic media. We present a family of models which generalize the Zeners model. We achieve its mathematical analysis: existence and uniqueness of solutions, energy decay and propagation with finite speed. For the numerical resolution, we extend a mixed finite element method proposed in [8]. This method combines mass lumping with a centered explicit scheme for time discretization. For the resulting scheme, we prove a discrete energy decay result and provide a sufficient stability condition. For the numerical simulation in open domains we adapt the perfectly matched layers techniques to viscoelastic waves [23]. Various numerical results are presented.     

裂隙岩体溶质运移模型综述

本文综述了裂隙岩体系统中溶质运移的概念模型和数学模型。分析了目前各种裂隙岩体系统中溶质运移的数学模型的适用性和优缺点，为选取合理的数学模型求解具体的问题提供了参考依据。最后提出了有待进一步研究的问题。     

Improvements in Blast Fragmentation Models Using Digital Image Processing

One of the fundamental requirements for being able to optimise blasting is the ability to predict fragmentation. An accurate blast fragmentation model allows a mine to adjust the fragmentation size for different downstream processes (mill processing versus leach, for instance), and to make real time adjustments in blasting parameters to account for changes in rock mass characteristics (hardness, fracture density, fracture orientation, etc). A number of blast fragmentation models have been developed in the past 40 years such as the Kuz-Ram model [1]. Fragmentation models have a limited usefulness at the present time because: 1. The input parameters are not the most useful for the engineer to determine and data for these parameters are not available throughout the rock mass. 2. Even if the input parameters are known, the models still do not consistently predict the correct fragmentation. This is because the models capture some but not all of the important rock and blast phenomena. 3. The models do not allow for 'tuning' at a specific mine site. This paper describes studies that are being conducted to improve blast fragmentation models. The Split image processing software is used for these studies [2, 3].     

分布式水文模型的进展及展望

分布式水文模型是当前水文建模领域最为活跃的研究方向,是解决流域水文、生态和环境问题的有效的途径.讨论了分布式水文模型的结构、与地理信息系统和遥感技术的关系、参数标定、应用领域等问题,指出分布式水文模型发展面临的问题并展望了未来的发展方向.     

硼酸盐矿物中硼氧原子簇的分子轨道理论计算：6—31G＊的结果

本文利用6-31G*基组的分子轨道理论从头计算法对[BO_3],[BO_4],[OB_2]等三个硼氧多面体进行平衡几何构型和振动光谱频率的计算,并与早先的6-31G结果进行了比较,说明在分子轨道理论从头计算法中扩大使用的基组对计算结果的改进有着明显的作用。     

Directions and possibilities of mathematical geology

This paper considers the present state of mathematical geology. Three directions are recognized: applied, theoretical, and mathematical. Applied mathematical geology includes formal use of mathematics to solve problems and computer processing of data. Success is achieved by a correspondence of mathematical methods used to the nature of geological data. This correspondence can be demonstrated by purely mathematical means. Theoretical mathematical geology uses mathematics as a language of geology; however, a number of methodological problems must be solved: formalization of initial geological concepts and creation of a strict conceptual basis, substantiation of initial principles of mathematical simulation, creation of theoretical geological models, problems of elementary and coincidence in geology, and methodological substantiations of possibilities of any mathematical model to approximate geological models. The essense and significance of these problems are considered. The main task of mathematical geology is to prove its correspondence to the nature of the geological objects studied, geological data obtained, and geological problems solvable. Finally, the main problems of mathematical geology are not so much mathematical as geological and methodological.     

全球变化过程的数学模拟和定量预测

本文首先介绍了全球变化过程数学模拟问题的由来、主要研究内容和重要意义,进一步讨论了全球变化过程综合模拟的数学模型及其已经取得的进展和系统分析的可能应用,然后介绍了过去全球变化过程的数学模拟以及已有的部分区域性工作基础和几种数学方法的可能应用。作者综述了GCM模型的应用现状和存在问题,并讨论了全球变化过程的定最预测,分析了若干新技术的可能应用,提出了对开展此项工作的看法和建议。     

对《中国古地理图集》制图设计的认识

《中国古地理图集》(下面简称《图集》)属於概略性古地理图,是一本八开本的综合性图集,由多种专业类型的全国性图件和地区性图件123幅及20万文字说明和英文摘要组成。《图集》从设计、编绘、制版、印刷历时数年,经地质人员、制图人员、制印人员、出版工作者等多方通力协作,现已正式出版发行。本文希望通过总结与探讨《图集》制图设计与编制工作中的某些有关问题,能有助于小比例尺大区域岩相古地理图的编制工作。     

A Pb isotope investigation of the Lovozero Agpaitic Nepheline Syenite,Kola Peninsula,Russia

For the first time Pb isotope composition was established in Lovozero rocks and raremetal ores, which is important for identifying their sources. The world’s largest layered intrusion of agpaitic nepheline syenite-the Lovozero alkaline massif—is located near the center of the Kola Peninsula in Russia. This superlarge complex plutonic body hosts the economically important loparite and eudiallyte deposits [1]. These deposits contain immense resources of REE, Nb, Ta, Zr, and constitute a world class mineral district. The Lovozero massif belongs to the Kola ultramafic alkaline and carbonatitic province (KACP) of Devonian age. Previous bulk rock studies have shown that the initial Sr and Nd isotope ratios of Lovozero rocks plot in the depleted mantle quadrant of Sr-Nd diagrams [2]. More recently, Hf isotope data obtained by Kogarko et al. (3) confirm that the Lovozero and Khibina massifs with ?_Hf between 6 and 8 are derived predominantly from a depleted mantle source. It was shown that Sr, Nd, and Hf abundances are significantly elevated in the Kola alkaline rocks, and thus their isotopic compositions are relatively insensitive to minor contamination by the overlying crustal rocks. By contrast, Pb in the KACP rocks is a much more sensitive indicator of a crustal component. In this paper we investigate the lead isotopic signature of all resentative types of Lovozero rocks (Table 1) in order to further characterize their mantle sources. The Lovozero massif consists of four intrusive phases. Rocks of phase I (mostly nepheline syenites) comprise about 5% of the total volume, phase II (urtites, foyaite, lujavrites) forms the main portion of the massif comprising 77% in volume, and phase III (eudialyte lujavrites) contributes about 18%. Country rocks are represented by Devonian effusive rocks and Archean gneisses.     

数学地质的主要进展和发展趋势

数学地质是地质学的一个重要的新分支。本文涉及数学地质在几个领域的主要进展,分形、耗散结构、灰色系统模型和模糊数学在地质学中的应用。分形已成功地应用于准晶体微粒结构、断层系统和地质构造分布、多孔介质、地质体表面粗糙度和其他问题研究。耗散结构已应用于矿物离解过程、热液成矿作用动力学、混合岩成因以及地壳地幔的结构和运动等的研究。灰色系统理论在水文地质、工程地质、环境地质和矿床预测的很多问题中得到应用。模糊数学是解决很多地质问题的有用的定量工具。最后,讨论了数学地质的进一步发展趋势。     

Model or measurements? A discussion of the key issue in Chapman and Pollack’s critique of Hamza et al.’s re-evaluation of oceanic heat flux and the global power

Chapman and Pollack (C and P)[2007, Int J Earth Sci] criticize Hamza et al. [2007, Int J Earth Sci] for using actual heat flux measurements in young oceanic crust instead of values from 1-D cooling models. The rationalization of C and P and previous authors is that hydrothermal circulation causes the discrepancy between model and measurement. However, the discrepancy between model values and measured heat flux exists over the entire ocean floor and is opposite to the perturbations that hydrothermal circulation would superimpose on a conductive system [Hofmeister and Criss (2005) Tectonophysics 409:199–203]. The error lies in force-fitting a 1-D cooling model to the 3-D oceanic crust [Hofmeister and Criss (2005) Tectonophysics 395:159–177]. Shortcomings of the 1-D model include mathematical errors, such as use of volumetric rather than linear thermal expansivity to describe contraction which, by assumption, is limited only to the Z -direction [Hofmeister and Criss (2006) Tectonophysics]. This 3× error, traceable to McKenzie and Sclater [1969, Bull Vocanol 33–1:101–118], accidentally provides good agreement of model values with globally averaged seafloor depths for young, but not old ages, and is the sole rationale for using the simplistic cooling model. There is no justification for selective substitution of erroneous 1-D model values for measurements only for the younger half of the 3-D oceanic crust, as stridently and arbitrarily promoted by C and P. Hamza et al. [2007, Int J Earth Sci], in contrast, use the scientific method, which calls for discarding models that do not well describe physical phenomena. The remainder of this report summarizes the shortcomings of cooling models, particularly the half-space cooling (HSC) model touted by C and P, and explains how hydrothermal circulation affects heat flux. We focus on the basics, as these have been misunderstood. With the key issues of C and P being erroneous, it is not necessary to address their remaining comments, many of which enumerate the vote for an imagined, gargantuan circulation of hot fluid through oceanic basins that is somehow warmed without removing heat from the rocks. The use of “consensus” to belittle valid challenge is the enemy of the scientific method.     

河流泥沙模拟技术进展与展望

本文系统总结了河流模拟技术的发展过程和研究成果。河流模拟技术包括河流实体模型和泥沙数学模型两部分。在实体模型方面,已建立了一整套河工模型的相似理论、设计方法和试验技术,在模型变态、模型沙选择、高含沙水流模拟、模型测验等方面取得了重要的研究成果,并解决了大量的工程泥沙问题。在数学模型方面,建立了一维、二维和三维泥沙数学模型,并随着泥沙基本理论研究的不断深入与广泛的工程应用,在计算模式、数值计算方法、计算结果的后处理、参数选择、高含沙水流问题处理等方面均取得了重要进展。本文还展望了河流模拟技术今后的发展方向。     

裂变径迹定年方法的进展及应用

裂变径迹分析方法利用裂变径迹年龄及裂变径迹长度分布形态来反映随时间产生的裂变径迹积累及由温度控制的退火(裂变径迹缩短或消失)两种因素综合作用的结果。近几年来，有关磷灰石的退火特征进行了大量实验和野外研究，取得了较大进展。本文通过对80年代以来国内外裂变径迹研究状况的追踪调研结果，简要介绍裂变径迹定年方法的主要进展及应用情况。     

Mathematical attributes of some soil–water characteristic curve models

Numerous mathematical models have been proposed in the research literature to represent soil–water characteristic curve data. A number of proposed mathematical models are summarized and the significance of each of the associated soil parameters is illustrated. The advantages and disadvantages of the various mathematical models are outlined. The derivatives for each of the model equations are presented along with comments regarding the efficiency of the best-fit regression procedures.The models using three soil parameters models proved to be superior for representing the wide range of soil suctions required in solving geotechnical problems. Regression analyses using three soil parameters were shown to be numerically more stable, converging with a reasonable number of iterations.     

阿拉善高原盐湖水化学特征的主成分分析研究

运用数理统计的主成分分析法对阿拉善高原腾格里沙漠地区和巴丹吉林沙漠地区的21个盐湖、八种水化学特征变量进行研究,获得四个可以揭示水化学特征的主成分及相应的数学模型,进一步得出各盐湖在四个新的主成分变量上的得分值,从而解释八种水化学成分变量与盐湖类型之间的相关信息。     

裂隙岩体溶质运移模型研究

核废料的地下深部贮存、垃圾填埋造成的污水下渗、海水入侵、输油管道老化引起渗漏等诸多应用领域的发展,要求从机理、试验和模型等方面发展裂隙岩体溶质运移理论。基于裂隙岩体系统溶质运移的多尺度概念模型,分析了目前描述裂隙岩体系统中溶质运移各种数学模型的适用性和优缺点,为选取合理的数学模型求解具体的问题提供了参考依据。最后提出了需要进一步研究的问题。     

土壤-植物系统中氚迁移研究现状与展望

对土壤-植物系统中氚迁移研究的意义、国内外研究进展作了概括性的介绍与展望,包括氚在不同土壤和植物中的时空分布、迁移规律及其影响因素、氚的化学形态和氚迁移数学模型研究等。总结了已取得的研究成果,并分析、讨论了研究中存在的问题。     

区域自然灾害风险分析研究进展

讨论了区域自然灾害风险的含义,指出了保险与灾害研究中对风险含义的不同理解,着重说明可能性风险概念,综述了区域灾害风险分析的内容及区域灾害风险估算的数学模型,指出风险分析可归结为风险辨识,风险估算,风险评价三个环节,风险估算数学模型的演进可概括为极值风险模型,概率风险模型,可能性风险模型三个阶段,着重介绍区域自然灾害风险分析的可能性风险模型。     

基于5P成矿预测与定量评价的系统勘查理论与实践

随着地球系统科学的提出, 人们越来越多地从系统的角度来理解和解决地学及其相关的问题, 系统勘查正是这种背景下的产物.系统勘查是对矿产勘查过程中涉及到的种类繁多的控矿因素和找矿标志综合考虑、合理选择、有序排列的过程; 同时, 构建系统勘查数学模型以满足矿产勘查信息化发展的需要.5P成矿预测体系是对这一要求的良好体现.本文在充分分析了以往矿产勘查定量评价模型的基础上, 指出了以往成矿预测与定量评价中对上级控矿因素的作用缺乏必要的考虑, 这有悖于系统勘查的完整性准则.事实上, 上级控矿因素不仅对下级控矿因素具有作用, 而且还会通过下级控矿因素对下级勘查目标具有作用或影响.针对这一问题, 本文对上级控矿因素对下级勘查目标的影响问题进行了探讨, 并给出了上级影响权重的计算公式.在此基础上, 对以往成矿有利度函数进行了改进, 并以滇西北三江南段与喜山期富碱斑岩有关矿产勘查为例, 构建了一个基于5P成矿预测体系的系统勘查数学模型, 利用本文提出的方法, 对铜-钼-金找矿有利地段进行了定量预测.结果表明, 所圈定的预测靶区与已知的铜钼金矿化地段有较高的符合程度, 从而证明了本文提出方法的可行性.