二维三温热传导方程组的二阶分数步差分格式     

谢树森  薛恒  李弓春 《中国海洋大学学报(自然科学版)》2002,32(3):495-500

对二维三温热传导方程组提出一类分数步有限差分格式。利用变分形式及能量方法 ,得到离散 H1范数的最优阶先验误差估计及稳定性  相似文献   

方位—分维估值法   总被引：8，自引：1，他引：7  

孟宪国  周有武 《地球科学》1992,17(1):63-68

  相似文献   

U – Pb zircon ages from leucogneiss in the Etheridge Group and their significance for the early history of the Georgetown region,north Queensland     

LP Black  IW Withnall  P Gregory    JHC Bain 《Australian Journal of Earth Sciences》2013,60(3):385-401

The Timbarra Tablelands pluton is an extensive (～550 km²) complexly zoned intrusion forming one of many predominantly monzogranite I‐type plutons, which constitute the Moonbi Supersuite in northern New South Wales, Australia. It comprises an outer rim of Rocky River monzogranite (Zones 1–3), an intermediate zone of Sandy Creek syenogranite (Zones 4A–4C), surrounding a core of Surface Hill syenogranite (Zones 5–7). The suite is calc‐alkaline, high‐K, and varies from mildly metaluminous to weakly peraluminous with increasing fractionation. Average Rb/Sr ratios range from 0.4 in the least evolved very coarse‐grained monzogranite (Zone 3) to 46 in the most evolved very fine‐grained biotite microgranite (Zone 6). Trace‐element modelling indicates that the observed compositional variation could have been produced by crystal fractionation. New bulk rock major‐ and trace‐element data for 71 samples are presented, and indicate that a compositional continuum exists that varies between 63 and 78 wt% SiO₂. Importantly, there is no systematic chemical variation with spatial distribution of samples from the core of the pluton to its margin, requiring multiple separate pulses of an evolving magma to explain compositional discontinuities. The pluton is interpreted to have been emplaced at mesozonal levels (～180 ± 60 MPa, 5–10 km depth) and crystallised at temperatures between 620 and 820°C under moderately oxidising conditions (log fO₂ = ‐11.5 to ‐19). The association of gold‐molybdenite mineralisation at Timbarra with moderately oxidised I‐type magmas is consistent with fractionation‐redox controls on ore‐element behaviour in magmatic systems in other studies.  相似文献   

Fractional order constitutive model of geomaterials under the condition of triaxial test     

Deshun Yin  Hao Wu  Chen Cheng  YangQuan Chen 《国际地质力学数值与分析法杂志》2013,37(8):961-972

Fractional calculus has been successfully applied to characterize the rheological property of viscoelastic materials; however, geomaterials were seldom involved in fractional order constitutive models (FOCM), and the topic of first loading and then unloading is rarely discussed through fractional calculus. In this paper, mechanical properties are considered as a ‘spectrum’, both ends of which are elasticity and viscosity, and the fractional order can be utilized to describe such properties quantitatively. In addition to conditions such as creep, stress‐relaxation, and constant‐strain‐rate loading, stress‐strain relationship under the condition of first loading and then unloading was also derived using FOCM. FOCM is then adopted to simulate triaxial tests of geomaterials under corresponding conditions. A comparison of test and numerical results demonstrates that FOCM can reasonably describe the mechanical characteristics of geomaterials.Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

内生碳酸岩型稀土矿床中磷酸盐作用研究综述     

许丹妮  宋文磊  杨金昆  陈倩  刘涛涛  徐亦桐 《地质论评》2023,69(6):2023060015-2023060015

碳酸岩型稀土矿床是全球稀土最主要的来源。磷酸盐是该成矿体系中常见的组分,但对其在碳酸岩稀土成矿过程中的具体作用仍缺少系统的认识。本文综述了磷酸盐在碳酸岩岩浆形成、演化和稀土富集成矿过程中作用,并提出现存问题和研究展望。磷在碳酸盐熔体中具有很高的溶解度。磷的存在有利于稀土在地幔极低程度部分熔融过程和碳酸盐—硅酸盐液态不混溶过程中优先进入碳酸盐熔体,形成初始碳酸岩熔体中稀土的预富集。碳酸岩岩浆演化过程中,稀土将优先进入到不混溶的磷酸盐熔体或独居石和磷灰石等磷酸盐矿物中,这些熔体和矿物的行为很可能是控制体系中稀土行为和成矿潜力的关键因素。岩浆作用过程中形成的富稀土磷酸盐矿物还可为热液阶段稀土矿化提供成矿物质来源。磷酸盐还是热液过程中稀土的有效沉淀剂,有利于轻重稀土矿物在流体晚期阶段成矿。未来工作应更多关注磷酸盐在碳酸岩岩浆演化过程中的作用及其中重稀土的富集机理研究,针对具体成岩成矿过程开展实验岩石学和熔体包裹体研究。  相似文献   

适用于堆石料的分数阶下加载面模型     

李海潮  马博  张升 《岩土力学》2021,(1):68-76

堆石料的应力-应变曲线具有应变硬化和软化的特性,并且体积变形会伴随着剪缩和剪胀现象的发生;此外,应力水平、应力路径和密度等因素均会对堆石料的力学特性产生显著的影响。基于临界状态土力学的理论框架,建立了适用于堆石料的分数阶下加载面模型,该模型为典型的双屈服模型。在平均主应力p-剪应力q平面,剪切过程中堆石料当前应力状态点和参考应力点分别位于下加载面和参考屈服面上,两者之间的相对位置与孔隙比之差ρ相关。相比于状态参量Ψ,ρ能够额外考虑应力路径对堆石料剪胀特性的影响。新模型的另一个显著特点在于能够考虑堆石料塑性流动方向与加载方向之间的差异性。在不引入塑性势函数的情况下,新模型对屈服函数进行Caputo微分并得到分数阶塑性流动法则,进而统一描述相关联和非相关联的塑性流动法则。新模型具有形式简单且参数较少等优点,所包含的7个材料参数均具有明确的物理意义,并且可以采用常规的室内试验结果进行标定。通过将模型计算结果与Tacheng堆石料在不同初始孔隙比和围压条件下的三轴压缩排水试验结果进行对比分析,结果表明新模型能够准确地描述堆石料的应力-应变曲线和体积变形特点;同时,新模型也能够合理地描述初始孔隙比对堆石料在e-lnp平面(e为孔隙比)临界状态线的影响。  相似文献   

Underwater Terrain Positioning Method Based on Least Squares Estimation for AUV     

陈鹏云  李晔  苏玉民  陈小龙  姜言清 《海洋工程》2015,29(6):859-874

To achieve accurate positioning of autonomous underwater vehicles, an appropriate underwater terrain database storage format for underwater terrain-matching positioning is established using multi-beam data as underwater terrain-matching data. An underwater terrain interpolation error compensation method based on fractional Brownian motion is proposed for defects of normal terrain interpolation, and an underwater terrain-matching positioning method based on least squares estimation (LSE) is proposed for correlation analysis of topographic features. The Fisher method is introduced as a secondary criterion for pseudo localization appearing in a topographic features flat area, effectively reducing the impact of pseudo positioning points on matching accuracy and improving the positioning accuracy of terrain flat areas. Simulation experiments based on electronic chart and multi-beam sea trial data show that drift errors of an inertial navigation system can be corrected effectively using the proposed method. The positioning accuracy and practicality are high, satisfying the requirement of underwater accurate positioning.  相似文献   

中国北方地区植被覆盖度遥感估算及其变化分析   总被引：6，自引：0，他引：6  

李钰溦  贾坤  魏香琴  姚云军  孙俊  牟丽秋 《国土资源遥感》2015,(2):112-117

为了分析中国北方地区2000年之后植被覆盖度的时空分布及其变化,利用MODIS光谱反射率数据计算归一化植被指数,采用像元二分模型对中国北方地区2000—2012年植被覆盖度进行定量估算,分析研究区13 a间植被覆盖度的时空变化特征。研究结果表明:植被覆盖度年内变化特征体现在最大植被覆盖度一般出现在7和8月份,与中国北方地区植被的生长季相一致;整个中国北方地区年最大植被覆盖度呈现缓慢增长的趋势,其增长速率为每年0.2%;年最大植被覆盖度变化的空间分布具有较大差异,其中东北、华北和黄土高原等三北防护林工程建设区的年最大植被覆盖度有较明显的增长。  相似文献   

基础地理信息数据库的快速出图技术     

殷勇  印洁  丁圣陶  叶关根 《测绘科学》2012,37(5):197-199,218

针对当前地图制图自动化程度较低以及工作强度大的特点,通过分析国家基础地理信息数据编码特征以及制图工艺流程,依托基础地理信息数据库,本文提出基于地图专家知识模板的快速制图解决方案,解决注记自动配置以及符号复用等快速制图关键技术,最终服务于应急出图以及大批量的工程化出图,并在1∶250 000公众版地图出图中得到了推广应用。  相似文献   

Computable extensions of generalized fractional kinetic equations in astrophysics     

Vinod Behari Lal Chaurasia  Shared Chander Pandey 《中国天文和天体物理学报》2010,10(1)

Fractional calculus and special functions have contributed a lot to mathematical physics and its various branches.The great use of mathematical physics in distinguished astrophysical problems has attracted astronomers and physicists to pay more attention to available mathematical tools that can be widely used in solving several problems of astrophysics/physics.In view of the great importance and usefulness of kinetic equations in certain astrophysical problems,the authors derive a generalized fractional kin...  相似文献