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1.
针对地下有多个异常源时,单一预测构造指数难于表征多个异常源。采用非预测欧拉反褶积以避免可能错误确定构造指数使得欧拉解过度发散的问题;同时针对欧拉反褶积超定方程组的条件数很大,致使欧拉反褶积解集中良解占优率低等解的非唯一性和解的不稳定性等局限性,采用奇异值分解总体最小二乘法(SVD-TLS算法),以降低由于奇异值分析不当造成计算欧拉解非唯一性和解的不稳定性的问题,并利用SVD-TLS的截断误差构造阈值函数对解集进行过滤。数值结果表明了算法的有效性和可靠性。   相似文献   

2.
地下洞室黏弹性位移反分析模式分层运算   总被引:2,自引:1,他引:1  
在洞室黏弹性位移参数反分析中,对分层优化方法存在初始值选取困难、计算量大等问题进行了探讨,提出了基于最小二乘法的模式分层运算方法,改变参数求解机制,避免了由于初始值选取不当造成迭代不收敛的现象,加强了求解搜索的有效性,提高解的精度和稳定性,通过工程实例进行验证。数值计算结果表明,模式分层运算对洞室黏弹性多参数位移反分析计算的结果真实、可靠。  相似文献   

3.
微地震的线性方程定位求解及其病态处理   总被引:7,自引:0,他引:7  
岩体破裂时会产生微地震现象,微地震的发生与岩体内部的能量释放以及进一步的裂纹演化、破裂有着密切的关系。所以,可以用微地震的时空分布来预测岩体的破裂。微地震定位是预测岩体破裂的基础。研究了微地震定位方程求解过程中不同情况下解的几种情况无穷解、唯一解和最小二乘解。由于定位问题属于反问题,因此,定位方程往往呈现病态,为此,进一步分析了病态方程的正则化处理方法。实际算例证明,用正则化方法求解定位方程具有计算简单、收敛速度快的优点,非常适合求解此类问题。  相似文献   

4.
二维视电阻率断面的快速最小二乘反演   总被引:12,自引:0,他引:12  
快速最小二乘反演是以平滑限定的最小二乘方法为基础,是对二维视电阻率断面进行反演的一种方法。反演过程不需要提供初始模型,在首次迭代时使用一均匀介质地下模型作为初始模型,该模型的视电阻率偏导数值可以用解析法得到。在后面的迭代中,使用了拟牛顿法去修改每一次迭代的偏导数矩阵,避免了偏导数矩阵的直接计算,从而减少了计算时间和存储空间。同时运用牛顿矩阵校正技术解最小二乘方程组也减少了大量的计算时间。总之,该方  相似文献   

5.
四参数非线性多重现期暴雨公式在城市排水规划设计中有着广泛的应用。搜索算法与最小二乘法是优化计算的两个简单有效的方法,不过单独直接用于求解四参数非线性多重现期暴雨公式的参数比较困难。提出耦合最小二乘法及搜索算法确定多重现期暴雨公式参数的二次优化算法,该方法可以一次得到多重现期暴雨强度公式的参数,参数优化过程不需要图解。研究表明,计算结果比较客观;成果精度高,例题的平均绝对均方差为0.035mm/min。与遗传算法、蚁群算法等比较,该方法计算原理容易理解,计算简便,可以用Excel进行参数优化计算。  相似文献   

6.
预测单桩极限荷载的实用方法   总被引:1,自引:0,他引:1  
用非线性最小二乘法求解指数方程中的有关参数,从而简化了指数方程法预测基桩极限荷载的计算过程,结合工程实例,分析了双曲线法,灰色系统理论方法及指数方程法在基桩极限荷载预测中的应用效果。  相似文献   

7.
地球物理反演是指根据一组观测结果来估计假设的地下模型的参数。因为模型所伴隋的响应可能是模型参数的非线性函数,因此在反演中非线性最小二乘方法是有用的。反演的一种普通类型是利用马奎特—列文伯格法实现迭代的阻尼最小二乘。通常,这种方法是通过常规的方法解有关的法方程来实现的。然而对于同样的法方程采用奇异值分解法(SVD)在计算精度上就会有明显的提高。迭代的最小二乘模拟在地球物理的多种问题中得到了应用,用两个实例来说明:(1)地震子波的反褶积;(2)根据地表重力资料推断一个隐伏台阶的位置。再广而言之,非线性最小二乘反演可以用于估计任意一组能得出适当数学描述的地球物理观测结果所对应的地下模型。  相似文献   

8.
水动力弥散系数是研究地下水溶质运移的一个重要参数。为了解污染物在地下水中的运移规律,利用基于仿生学原理的粒子群算法,求解四川大学江安校区弥散试验场中的潜水含水层天然流场下的水动力弥散系数,并与最小二乘法和标准曲线对比法的计算结果相比较。研究结果表明,标准曲线法的计算结果受人为主观影响误差较大;最小二乘法计算结果与实测数据拟合较好,但计算过程相对复杂;粒子群算法的求解精度最高,计算更快,具有良好的收敛性,是一种可靠的求解方法。   相似文献   

9.
讨论了一类二阶抛物型方程反问题的数值解法。应用拟解法的思想,把原问题分解为一系列适定的正问题和一个不适定的线性代数方程组。对于相应的正问题,证明了解连续依赖于初始分布,由此得到了在时刻的稳定性估计。使用古典欧拉差分格式求解正问题和用截断奇异值分解法求解病态方程组。数值结果显示数值解与理论解吻合很好。  相似文献   

10.
为了适应地形起伏的实际地质情况,开展带地形的最小二乘二维反演研究。鉴于大地电磁(MT)反演的不适定问题,引入Tikhonov的正则化方法,从而获得关于总目标函数的方程,利用光滑约束最小二乘法求解总目标函数方程。由于正则化因子值与反演精度以及稳定性相关,采用主动约束平衡方法获取最优化的正则化因子,以确保反演精度和稳定性都达到最佳。与此同时,利用电磁场互易定理以节省反演迭代过程求解雅可比矩阵的计算时间。构建了若干地质构造模型进行试算,分别讨论TE、TM模式以及二者联合模式的反演结果,并与前人研究工作对比以说明本文方法的反演效果。  相似文献   

11.
Pant-y-ffynnon Quarry in South Wales yielded a rich cache of fossils in the early 1950s, including articulated specimens of new species (the small sauropodomorph dinosaur Pantydraco caducus and the crocodylomorph Terrestrisuchus gracilis), but no substantial study of the wider fauna of the Pant-y-ffynnon fissure systems has been published. Here, our overview of existing specimens, a few described but mostly undescribed, as well as freshly processed material, provides a comprehensive picture of the Pant-y-ffynnon palaeo-island of the Late Triassic. This was an island with a relatively impoverished fauna dominated by small clevosaurs (rhynchocephalians), including a new species, Clevosaurus cambrica, described here from a partially articulated specimen and isolated bones. The new species has a dental morphology that is intermediate between the Late Triassic Clevosaurus hudsoni, from Cromhall Quarry to the east, and the younger C. convallis from Pant Quarry to the west, suggesting adaptive radiation of clevosaurs in the palaeo-archipelago. The larger reptiles on the palaeo-island do not exceed 1.5?m in length, including a small carnivorous crocodylomorph, Terrestrisuchus, and a possible example of insular dwarfism in the basal dinosaur Pantydraco.  相似文献   

12.
Robert L. Linnen   《Lithos》2005,80(1-4):267-280
The solubilities of columbite, tantalite, wolframite, rutile, zircon and hafnon were determined as a function of the water contents in peralkaline and subaluminous granite melts. All experiments were conducted at 1035 °C and 2 kbar and the water contents of the melts ranged from nominally dry to approximately 6 wt.% H2O. Accessory phase solubilities are not affected by the water content of the peralkaline melt. By contrast, solubilities are affected by the water content of the subaluminous melt, where the solubilities of all the accessory phases examined increase with the water content of the melt, up to 2 wt.% H2O. At higher water contents, solubilities are nearly constant. It can be concluded that water is not an important control of accessory phase solubility, although the water content will affect diffusivities of components in the melt, thus whether or not accessory phases will be present as restite material. The solubility behaviour in the subaluminous and peralkaline melts supports previous spectroscopic studies, which have observed differences in the coordination of high field strength elements in dry vs. wet subaluminous granitic glasses, but not for peralkaline granitic glasses. Lastly, the fact that wolframite solubility increases with increasing water content in the subaluminous melt suggests that tungsten dissolved as a hexavalent species.  相似文献   

13.
Calcite samples were extracted both from the rock matrix and the superficial coating of a karstified fault plane of an underground quarry, located in the eastern border of the Paris basin. The karstification is dated as Quaternary. Analysis of mechanical calcite twinning reveals that only the calcite matrix has also undergone a compression trending WNW that can be attributed to the Mio-Pliocene alpine collision. Both coating and matrix have undergone a strike-slip regime with σ1 roughly trending north–south, that could correspond to the regional present-day state of stress, a strike-slip compression rather trending NNW, modified by local phenomena. To cite this article: M. Rocher et al., C. R. Geoscience 335 (2003).  相似文献   

14.
HYDROGEOLOGY     
正20141756 Chen Ruige(Mathematical College,China University of Geosciences,Beijing100083,China);Zhou Xun Numerical Simulation of Groundwater Level Fluctuation in a Coastal Confined Aquifer with Sloping Initial Groundwater Level Induced by the Tide(Geological Bulletin of China,ISSN1671-2552,CN11-4648/P,32(7),2013,p.1099-1104,6 illus.,16 refs.) Key words:confined water,groundwater level  相似文献   

15.
正20141408 Cai Jia(Institute of Geology,Chinese Academy of Geological Sciences,Beijing100037,China);Liu Fulai Petrogenesis and Metamorphic P-T Conditions of Garnet-Spinel-Biotitebearing Paragneiss in Danangou Area,Daqingshan-Wulashan Metamorphic Complex Belt(Acta Petrologica Sinica,ISSN1000-0569,CN11-1922/P,29(7),  相似文献   

16.
17.
正20142386An Guoying(China Aero Geophysical Survey and Remote Sensing Center for Land and Resources,Beijing 100083,China)Application of Satellite Remote Sensing in Regional Hydrogeological Investigation:Taking Cenozoic Strata in Wenquan Sheet(1∶250 000)of Karakoram Range as an Example(Geosci-  相似文献   

18.
正20141016An Chengbang(Key Laboratory of Western China’s Environmental Systems,Ministry of Education,Lanzhou University,Lanzhou 730000,China);Zhao Yongtao Lake Records during the Last Glacial Maximum from Xinjiang,NW China and Their Climatic Impli-  相似文献   

19.
正20141538 Cao Qing(School of Earth Sciences and Engineering,Xi’an Petroleum University,Xi’an 710065,China);Zhao Jingzhou Characteristics and Significance of Fluid Inclusions from Majiagou Formation,Yichuan Huangling Area,Ordos Basin(Advances in Earth Science,ISSN1001-8166,CN62-1091/P,28(7),2013,p.819-828,7 illus.,3 tables,43 refs.)  相似文献   

20.
GEOCHEMISTRY     
正20142002 Wei Hualing(Institute of Geophysical and Geochemical Exploration,Chinese Academy of Geological Sciences,Langfang065000,China);Zhou Guohua Element Content and Mineral Compositions in Different Sizes of Soil in Tongling Area,Anhui Province(Geological Bulletin of China,ISSN1671-2552,CN11-4648/P,32(11),2013,p.1861  相似文献   

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