Comment on 'Estimation of resolution and covariance for large matrix inversions' by J. Zhang and G. A. McMechan     

M. M. Deal  G. Nolet 《Geophysical Journal International》1996,127(1):245-250

When inverting large matrices, iterative techniques are necessary because of their speed and low memory requirements, as opposed to singular value decomposition (SVD). Recently, there have been attempts to obtain information on the quality of the solutions calculated using conjugate gradient (CG) methods such as LSQR. The purpose of this note is to comment on the paper titled "Estimation of resolution and covariance for large matrix inversions' by Zhang & McMechan (1995), who extend Paige and Saunders' LSQR algorithm to obtain an orthonormal basis used to approximate resolution and covariance. We show that for larger problems, where the number of orthogonal vectors is several orders of magnitude smaller than the number of model parameters, the vectors obtained do not adequately span the range of the model space. We use a synthetic borehole experiment to illustrate the differences between the singular value spectrum obtained through the more complete method of SVD and the Ritz value spectrum that results from a simple extension of LSQR, We also present a trivial numerical example to illustrate the differences between Zhang & McMechan's approximate resolution matrix and the true resolution.  相似文献   

Shear-wave velocity structure beneath Europe, the northeastern Atlantic and western Asia from waveform inversions including surface-wave mode coupling   总被引：6，自引：0，他引：6  

Henk Marquering  Roel Snieder 《Geophysical Journal International》1996,127(2):283-304

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用非线性遗传反演方法进行自动静校正   总被引：4，自引：0，他引：4       下载免费PDF全文

姚姚 《地球科学》1996,21(1):89-92

静校正处理是消除近地层影响的一个重要地震资料数字处理方法，在近地表层纵，横向变化复杂，静校正量变化较大的地区，常规静校正方法和线性反演方法均不能解决问题，遗传算法是近年发展起来的一种模拟生物生化过程的较先进的非线性反演方法，对用遗传算法进行静校正的若干问题进行了讨论，说明它是可以解决表层情况复杂地区静校正问题的一个有效方法。  相似文献   

混合岩中斜长石的交代净边结构和倒转双晶研究——以大别罗田黄土岭长英片麻岩为例   总被引：3，自引：0，他引：3  

游振东  钟增球  汤中道  陈能松 《地球科学》1996,(5)

湖北罗田黄土岭长英片麻岩是与紫苏石榴黑云片麻岩共生的浅色片麻岩，成分上近于Ａ型花岗岩．受到浅混合岩化，钾交代现象显著．在斜长石与钾长石新成体接触处有清楚的交代净边结构，背散射电子探针分析表明，净边成分为钠长石（Ａｂ８９～９７）．在净边结构上，发现叠加倒转双晶．净边结构产生于长英片麻岩部分熔融的高温条件下，与整个大别地体隆升过程和Ａ型花岗岩的生成有成因联系  相似文献   

论广义逆矩阵阶数增大的递推算法     

蔡宗熹  蔡越虹 《物探化探计算技术》1996,18(2):113-117

本文针对加拿大地球物理学家ＥｄｏＮｇｌａｎｄ教授提出的问题，对Ｍ—Ｐ广义逆矩阵的递推算法进行了探分论述探讨的初步结果和对Ｇｒｅｖｉｌｌｅ递推算法的扩充。文中对算法的扩充给出严格的证明。  相似文献   

电法勘探的发展和展望   总被引：9，自引：1，他引：9       下载免费PDF全文

何继善 《地球物理学报》1997,40(Z1):308-316

电法勘探在经历了近一个世纪的发展后，其方法理论、仪器设备、野外数据采集、处理和解释等方面都经历了一系列重大变化．本文以方法理论的进展为主线，回顾、展望了目前电法勘探中几个重要而令人关注的研究焦点．这些问题的研究进展将会对21世纪的电法勘探产生深远的影响．  相似文献   

地壳介质弹性和电性各向异性研究的新进展   总被引：3，自引：2，他引：3       下载免费PDF全文

李清河  阮爱国  范小平  金淑梅 《地震工程学报》2004,26(1):10-17

分析了地壳介质各向异性研究的现状，指出了弹性和电性各向异性研究中存在的问题，提出了联合利用弹性和电性各向异性研究地球介质特征及提取物性参数的正反演方法．理论研究和地震过程的实际资料表明，将弹性和电性结合起来研究地壳介质各向异性具有清晰明确的物理意义，是各向异性研究的一个非常有发展前景的新领域。  相似文献   

The Significance of Multiple Saturation Points in the Context of Polybaric Near-fractional Melting   总被引：1，自引：0，他引：1  

ASIMOW  PAUL D.; LONGHI  JOHN 《Journal of Petrology》2004,45(12):2349-2367

Experimental petrologists have successfully located basalticliquid compositions parental to mid-ocean ridge basalt thatare, within experimental resolution, multiply saturated withthree-phase harzburgite or four-phase lherzolite assemblageson their liquidus at some elevated pressure. Such an experimentalresult is a necessary consequence of any paradigm in which eruptedbasalts derive from single-batch primary liquids that equilibratewith a mantle residue and undergo no subsequent magma mixingbefore differentiation and eruption. Here we investigate whether,conversely, such evidence of multiple saturation is sufficientto exclude dynamic melting models wherein increments of meltare mixed after segregation from residues, during melt transportor in magma chambers. Using two independent models of crystal–liquidequilibria to simulate polybaric near-fractional peridotitemelting, we find that aggregate liquids from such melting processescan display near-intersections of liquidus surfaces too closeto distinguish experimentally from exact multiple saturationpoints. Given uncertainties in glass compositions, fractionationcorrections, experimental temperature and pressure conditions,and achievement of equilibrium, these results suggest that polybaricmixtures can in fact masquerade as mantle-equilibrated single-batchprimary liquids. Multiple saturation points on the liquidussurfaces of primitive basalts do, however, preserve informationabout the average pressure of extraction of their constituentincrements of liquid. KEY WORDS: mantle melting; basaltic volcanism; experimental igneous petrology; thermodynamic modelling; inverse method  相似文献   

AHP及模糊综合评判法在路基长期稳定性评价中的应用     

付兵先  唐飞  李天降 《岩土工程技术》2005,19(6):284-286,322

根据对一低液限粉土路基的现场工程地质调查及检测,确定了影响该路基长期稳定性的主要影响因素,并结合AHP法,应用两级模糊综合评判的方法对该路基的长期稳定性进行了评价。  相似文献   

The resolution of whole Earth seismic tomographic models   总被引：2，自引：0，他引：2  

G. Soldati  L. Boschi 《Geophysical Journal International》2005,161(1):143-153

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