A Linear Programming Approach to Determine the Normative Composition of Sedimentary Rocks     

V. N. Podkovyrov  O. V. Graunov  R. L. Cullers 《Mathematical Geology》2003,35(4):459-476

The analysis of modal and normative composition of sedimentary rocks is widely used for studying their sources and tectonic settings. The normative calculation of the mineral composition of rocks in this study is formulated as a linear programming problem and is solved by means of the simplex method. This enables both simultaneous and successive subtraction of a set of basic minerals from a rock sample represented by its chemical composition {SiO₂...LOI}. Such an approach provides a more exact calculation of the contribution of basic minerals in the rock. This mathematical approach is used to study two representative sets of sandstones and fine-grained rocks from a Meso- to Neoproterozoic marginal basin of southeastern Siberia (Uchur–Maya region, Yakutia) and a Pennsylvanian-Lower Permian uplifted continental block in Colorado, USA. The calculated normative mineral compositions of the Siberian sandstones are consistent with the observed modal compositions. These sandstones vary from K- Feldspar rich arkoses at the base of the sequence (the Uchur Group, lower Riphean) to quartz arenites or lithic sandstones and wacke in transgressive successions of the middle-upper Riphean. Arkoses and quartz arenites are dominant in Meso- to Neoproterozoic Siberia. These samples represent craton interior uplifted basement and quartzose, recycled orogen provenance of a stable craton in Rodinia. There are higher but consistent discrepancies between the calculated and observed compositions for the Pennsylvanian to Lower-Permian arkoses and quartz arenites (Sangre de Cristo, Belden, and Maroon Formations). The differences between the predicted and observed mineralogy may be due to uncertainties in the modes in the matrix and cement of the sandstones. This normative program should supplement modal calculations and provide better genetic constructions, especially in case of matrix-rich sandstones.  相似文献   

Permeability Estimation with the Augmented Lagrangian Method for a Nonlinear Diffusion Equation     

Trygve K. Nilssen  Trond Mannseth  Xue-Cheng Tai 《Computational Geosciences》2003,7(1):27-47

We consider numerical identification of the piecewise constant permeability function in a nonlinear parabolic equation, with the augmented Lagrangian method. By studying this problem, we aim at also gaining some insight into the potential ability of the augmented Lagrangian method to handle permeability estimation within the full two-phase porous-media flow setting. The identification is formulated as a constrained minimization problem. The parameter estimation problem is reduced to a coupled nonlinear algebraic system, which can be solved efficiently with the conjugate gradient method. The methodology is developed and numerical experiments with the proposed method are presented.  相似文献   

基于遗传算法的最优证券投资组合模型   总被引：2，自引：0，他引：2  

陈科燕  肖冬荣 《南京气象学院学报》2003,26(5):707-711

为了研究能使风险损失率最小、收益最大的最优证券投资组合问题，首先提出了多目标规划模型，并采用模糊优选法将多目标模型单目标化。随后尝试采用遗传算法来对其求解，给出了模型的遗传算法编码规则和算法步骤。最后通过实例论证了模型的合理性及遗传算法的有效性。  相似文献   

偏心结构非线性地震反应分析的一种简化方法   总被引：1，自引：1，他引：1  

戴君武  张敏政  郭迅  黄玉龍 《地震工程与工程振动》2003,23(3):60-67

本文建立了基于结构状态方程和偏心结构体系的层剪力-扭矩等效屈服EYST面概念的求解平扭耦联非线性地震反应的分离-予估-修正递推算法，编制了相应的计算程序。通过与三个单层偏心结构模型的破坏性地震模拟试验结果的对比，验证了小变形阶段平-扭耦联地震反应算法的实用性和可靠性。算例表明，该程序数据处理量小，运算快捷，便于应用。  相似文献   

考虑空间效应的非线性结构主共振分析   总被引：1，自引：1，他引：1  

姜忻良  骆兰月 《地震工程与工程振动》2003,23(3):68-73

本文针对考虑空间效应非对称刚度的单层结构，利用能量法得到了结构水平侧移和扭转相耦合的振动方程，采用多尺度法研究了侧移刚度和扭转刚度之间有某一关系时的主共振，分析了结构主共振的定常解并且讨论了其稳定性，通过算例分析得到了考虑空间效应时结构的一些有益的结论。  相似文献   

n维非线性波动方程对应的线性方程Cauchy问题解的一个估计式     

郭华  李月  杨宝俊  刘财  杨冬  张景 《地球物理学进展》2003,18(1):142-145

对于地震波在地球介质中传播的传播非线性而言，在求解n维非线性波动方程Canchy问题时，需要求解其对应的线性波动方程Cauchy问题和建立一些解的估计式。我们已经求得了其对应的线性波动方程Canchy问题解的表达式。在此基础上，本文应用函数空间L^1(R^n)、L^∞（R）的范数，建立了n维非线性波动方程对应的线性波动方程Cancny问题解的一个估计式，为求解n维非线性波动方程莫定了基础。  相似文献   

非线性模型线性近似的容许曲率     

王新洲 《武汉大学学报(信息科学版)》1997,(2)

由于不同的非线性模型具有不同的非线性强度，使得一些非线性模型可以线性近似，而另一些则不能。本文介绍度量非线性强度的方法，提出判断非线性模型能否线性近似的数值标准——容许曲率  相似文献   

小波网络方法用于时间序列分析中非线性模型的研究   总被引：1，自引：0，他引：1  

秦伟良  金龙 《南京气象学院学报》1997,20(3):370-374

把小波网络方法用于时间序列分析中非线性模型，利用小波网络的非线性逼近能力，构造一个非线性函数，并对温度资料进行处理，得到了较好的拟合效果。  相似文献   

STUDY ON MIXED MODEL OF NEURAL NETWORK FOR FARMLAND FLOOD/DROUGHT PREDICTION   总被引：18，自引：0，他引：18  

金龙  罗莹  郭光  林振山 《Acta Meteorologica Sinica》1997,(3)

The paper concerns a flood/drought prediction model involving the continuation of time seriesof a predictand and the physical factors influencing the change of predictand.Attempt is made toconstruct the model by the neural network scheme for the nonlinear mapping relation based onmulti-input and single output.The model is found of steadily higher predictive accuracy by testingthe output from one and multiple stepwise predictions against observations and comparing theresults to those from a traditional statistical model.  相似文献   

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