A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: the discrete-in-time case     

Phillip Joseph Phillips  Mary F. Wheeler 《Computational Geosciences》2007,11(2):145-158

In this paper, we formulate a finite element procedure for approximating the coupled fluid and mechanics in Biot’s consolidation model of poroelasticity. Here, we approximate the pressure by a mixed finite element method and the displacements by a Galerkin method. Theoretical convergence error estimates are derived in a discrete-in-time setting. Of particular interest is the case when the lowest-order Raviart–Thomas approximating space or cell-centered finite differences are used in the mixed formulation and continuous piecewise linear approximations are used for displacements. This approach appears to be the one most frequently applied to existing reservoir engineering simulators.  相似文献   

A coupling of mixed and continuous Galerkin finite element methods for poroelasticity I: the continuous in time case     

Phillip Joseph Phillips  Mary F. Wheeler 《Computational Geosciences》2007,11(2):131-144

In this paper, we formulate a finite element procedure for approximating the coupled fluid and mechanics in Biot’s consolidation model of poroelasticity. Here, we approximate the pressure by a mixed finite element method and the displacements by a Galerkin method. Theoretical convergence error estimates are derived in a continuous in-time setting for a strictly positive constrained specific storage coefficient. Of particular interest is the case when the lowest-order Raviart–Thomas approximating space or cell-centered finite differences are used in the mixed formulation, and continuous piecewise linear approximations are used for displacements. This approach appears to be the one most frequently applied to existing reservoir engineering simulators.  相似文献   

起伏地表条件下地震波场数值模拟有限积分变换有限差分方法     

李健  孙建国 《吉林大学学报(地球科学版)》2007,(Z1)

针对起伏地表条件下的地震波数值模拟问题,提出将起伏的地表映射到一个规则的长方形网格坐标系中,并在此基础上推导出变换域中的波动方程。根据导出来的波动方程应用有限余弦变换有限差分方法进行地震波场的数值模拟,以解决起伏地表条件下的数值模拟。  相似文献   

地震波多次散射波场的高阶谱统计分析   总被引：2，自引：0，他引：2  

秦雪霏  韩立国  李巍 《吉林大学学报(地球科学版)》2007,(Z1)

设计了一个特殊且相对规则的散射界面模型,并利用声波动方程高阶有限差分的方法对其进行正演。通过不断改变模型中散射体的横向尺度来控制多次散射波场的强度和特征,然后结合高阶谱统计分析的方法对所得的多次散射波进行分析,进而可以得到多次散射波频率随散射体横向尺度而变化的一些规律。  相似文献   

空间数据库课程教学实践与思考   总被引：1，自引：1，他引：1  

张山山 《测绘科学》2007,32(5):197-199

空间数据库课程是GIS专业的核心课程,对GIS人才培养具有非常重要的作用。但由于种种原因,空间数据库课程在课程体系、课程内容、教学模式等方面仍然存在许多问题和不足。本文首先分析了大学本科空间数据库课程在教学内容、实验与实习及教学手段等方面存在的问题,然后针对这些问题根据自己的教学体会提出了一些相应的解决办法与建议。  相似文献   

Reliability analysis for bearing capacity of surface strip footing using fuzzy finite element method     

Rajarshi Pramanik  Dilip Kumar Baidya  Nirjhar Dhang 《Geomechanics and Geoengineering》2020,15(1):29-41

ABSTRACT

This paper presents the reliability analysis on the basis of the foundation failure against bearing capacity using the concept of fuzzy set theory. A surface strip footing is considered for the analysis and the bearing capacity is estimated using the conventional Finite Element Method (FEM). The spatial variability of the variables is taken into consideration to capture the physical randomness of the soil parameters for an isotropic field. A variation of the probability of failure (P_f) against a varying limiting applied pressure (q) is presented for different Coefficient of Variation (COV) of the variables and different scale of fluctuation (θ). The results reveal that the friction angle of soil (?) is the most influencing parameter among the other variables. Further, the influence of the scale of fluctuation (θ) on the probability of failure (P_f) is also examined. It is observed that for a particular COV of ?, higher value of θ predicts higher P_f whereas, P_f increases as COV of ? increases for a particular θ value. Later, a comparison study is accomplished to verify the viability of the present method and it can be noticed that the present method compares well with the other reliability method (First Order Reliability Method) to a reasonably good extent.  相似文献   

采用复合单元法模拟裂隙多孔介质变饱和流动     

侯晓萍  陈胜宏 《岩土力学》2020,41(4):1437-1446

采用复合单元法建立了模拟裂隙多孔介质变饱和流动的数值模型。该模型具有以下特点：裂隙不需要离散成特定单元，而是根据几何位置插入到孔隙基质单元中形成复合单元；在复合单元中，分别建立裂隙流和孔隙基质流的计算方程，二者通过裂隙?基质界面产生联系并整合成复合单元方程；复合单元方程具有和常规有限单元方程相同的格式，因此，可以使用常规有限单元方程的求解技术。采用欠松弛迭代、集中质量矩阵以及自适应时步调节等技术，开发了裂隙多孔介质变饱和流动计算程序。通过模拟一维干土入渗和复杂裂隙含水层内的流动问题，验证了该模型的合理性和适用性。模拟结果为进一步认识非饱和裂隙含水层地下水流动特性提供了理论依据。  相似文献   

四川省康定县三碉金矿床岩矿石化学成分特征及构造环境          下载免费PDF全文

何阳阳  蒋双宇  邓成雪 《地质找矿论丛》2020,35(2):129-137

康定县境内的三碉金矿床是大渡河金矿成矿集中区内的典型矿床。本文基于野外实地调查取样、实验室分析测试工作,通过对岩矿石地球化学特征及构造环境进行研究,结果表明:1)从无矿石英→含矿石英,SiO_2、Al_2O_3、CaO等含量均有所减少,TiO_2、MnO、K_2O、Na_2O等变化范围不大,Fe_2O_3和FeO等则有明显的增高。2)斜长角闪岩的原岩为基性火山岩,δEu主要表现为正异常特征;黑云母花岗岩具有中钾钙碱性特征,形成于造山晚期,δEu表现为明显的负异常特征。即三碉金矿的形成过程中,硅铝质矿物在减少,载金金属矿物在增多;含矿流体混染和交代长英质岩浆减弱抵消负铕异常导致斜长角闪岩δEu值逐渐过渡为正异常;黑云母花岗岩δEu为负异常,是早期斜长石的晶出带走Eu作用的结果。3)矿区断裂与矿床的形成密切相关,为成矿流体的上升运移提供了有利的通道,并提供含矿石英脉的沉聚空间。  相似文献   

Cosmological perturbation theory and the spherical collapse model — III. The velocity divergence field and the Ω dependence     

Pablo Fosalba  & Enrique Gaztañaga 《Monthly notices of the Royal Astronomical Society》1998,301(2):535-546

Cosmological perturbation theory (PT) is a useful tool to study the cumulants of the density and velocity fields in the large-scale structure of the Universe. In Papers I and II of this series we saw that the spherical collapse (SC) model provides the exact solution to PT at tree-level and gives a good approximation to the loop corrections (next-to-leading orders), indicating negligible tidal effects. Here, we derive predictions for the (smoothed) cumulants of the velocity divergence field θ ≡ ▽ ⊙  v for an irrotational fluid in the SC model. By comparing these with the exact analytic results of Scoccimarro &38; Frieman, it is shown that, at least for the unsmoothed case, the loop corrections to the cumulants of θ are dominated by tidal effects. However, most of the tidal contribution seems to cancel out when computing the hierarchical ratios, T _J  = 〈θ ^J 〉 / 〈θ²〉  ^{J −1}. We also extend the work presented in Papers I and II to give predictions for the cumulants of the density and velocity divergence fields in non-flat spaces. In particular, we show the equivalence between the spherically symmetric solution to the equations of motion in the SC model (given in terms of the density) and that of the Lagrangian PT approach (given in terms of the displacement field). It is shown that the Ω dependence is very weak for both cosmic fields even at one loop (a 10 per cent effect at most), except for the overall factor f (Ω) that couples to the velocity divergence.  相似文献   

DO WE NEED TO MODEL PLATES AT ALL?   总被引：2，自引：0，他引：2  

Morrison  Smart  & Taff 《Monthly notices of the Royal Astronomical Society》1998,296(1):66-76

The historical method of obtaining equatorial coordinates for stars observed via astronomical photography has been to convert the measured coordinates to equatorial coordinates with the aid of a plate model which corrects for a variety of effects. However, we now have at our disposal novel smoothing techniques, of considerable generality, which in conjunction with modern star catalogues can reproduce the essence of the plate model while dramatically minimizing both the fortuitous and systematic errors of observation. In this paper we demonstrate that, with this technique and extant catalogues, one can obtain, with at least the same precision and better accuracy, the information necessary to transform the measured coordinates successfully into standard coordinates by a process that involves no sophisticated model for the plate. Using external checks we estimate the increase in accuracy to be of the order of 25 per cent.  相似文献