Density-dependent dispersion in heterogeneous porous media Part I: A numerical study   总被引：1，自引：0，他引：1  

Anke Jannie Landman  K. Johannsen  Ruud Schotting   《Advances in water resources》2007,30(12):2467-2480

In this paper, we describe carefully conducted numerical experiments, in which a dense salt solution vertically displaces fresh water in a stable manner. The two-dimensional porous media are weakly heterogeneous at a small scale. The purpose of these simulations, conducted for a range of density differences, is to obtain accurate concentration profiles that can be used to validate nonlinear models for high-concentration-gradient dispersion. In this part we focus on convergence of the computations, in numerical and statistical sense, to ensure that the uncertainty in the results is small enough.Concentration variances are computed, which give estimates of the uncertainty in local concentration values. These local variations decrease with increasing density contrast. For tracer transport, obtained longitudinal dispersivities are in accordance with analytical findings. In the case of high-density contrasts, stabilizing gravity forces counteract the growth of dispersive fingers, decreasing the effective width of the transition zone. For small log-permeability variances, the decrease of the apparent dispersivity that is found is in agreement with laboratory results for homogeneous columns.  相似文献   

3D image-based characterization of fluid displacement in a Berea core     

M. Prodanović  W.B. Lindquist  R.S. Seright 《Advances in water resources》2007

Improved network flow models require the incorporation of increasingly accurate geometrical characterization of the microscale pore structure as well as greater information on fluid–fluid interaction (interfaces) at pore scales. We report on three dimensional (3D) pore scale medium characterization, absolute permeability computations for throat structures, and pore scale residual fluid distribution in a Berea core. X-ray computed microtomography combined with X-ray attenuating dopants is used to obtain 3D images of the pore network and to resolve phase distributions in the pore space.  相似文献   

Inversion of interference hydraulic pumping tests in both homogeneous and fractal dual media     

Frederick Delay  Anne Kaczmaryk  Philippe Ackerer 《Advances in water resources》2007

This work proposes a complete method for automatic inversion of data from hydraulic interference pumping tests based on both homogeneous and fractal dual-medium approaches. The aim is to seek a new alternative concept able to interpret field data, identify macroscopic hydraulic parameters and therefore enhance the understanding of flow in porous fractured reservoirs. Because of its much contrasted sensitivities to parameters, the dual-medium approach yields an ill-posed inverse problem that requires a specific optimization procedure including the calculation of analytical sensitivities and their possible re-scaling. Once these constraints are fulfilled, the inversion proves accurate, provides unambiguous and reliable results. In the fractal context inverting several drawdown curves from different locations at the same time reveals more accurate. Finally, hydraulic parameters drawn from inversion should be taken into account to improve in various situations the conditioning of up-scaled flow in fractured rocks.  相似文献   

Coarsening of three-dimensional structured and unstructured grids for subsurface flow     

Jørg Espen Aarnes  Vera Louise Hauge  Yalchin Efendiev 《Advances in water resources》2007

We present a generic, semi-automated algorithm for generating non-uniform coarse grids for modeling subsurface flow. The method is applicable to arbitrary grids and does not impose smoothness constraints on the coarse grid. One therefore avoids conventional smoothing procedures that are commonly used to ensure that the grids obtained with standard coarsening procedures are not too rough. The coarsening algorithm is very simple and essentially involves only two parameters that specify the level of coarsening. Consequently the algorithm allows the user to specify the simulation grid dynamically to fit available computer resources, and, e.g., use the original geomodel as input for flow simulations. This is of great importance since coarse grid-generation is normally the most time-consuming part of an upscaling phase, and therefore the main obstacle that has prevented simulation workflows with user-defined resolution. We apply the coarsening algorithm to a series of two-phase flow problems on both structured (Cartesian) and unstructured grids. The numerical results demonstrate that one consistently obtains significantly more accurate results using the proposed non-uniform coarsening strategy than with corresponding uniform coarse grids with roughly the same number of cells.  相似文献   

Multi-scale modeling of three-phase–three-component processes in heterogeneous porous media     

J. Niessner  R. Helmig 《Advances in water resources》2007

Flow and transport processes in porous media occur on different spatial and temporal scales and may also be locally different. Additionally, the structure of the porous medium itself generally shows a high dependence on the spatial scale.  相似文献   

裂隙岩体地下水溶质运移的尺度问题   总被引：7，自引：1，他引：7       下载免费PDF全文

王锦国  周志芳 《水科学进展》2002,13(2):239-245

核废料的安全贮存、地下污染的预测控制等目前面临的许多重大问题要求对大尺度裂隙岩体地下水溶质运移问题进行研究,然而裂隙岩体地下水溶质运移问题的尺度效应给这项研究带来了极大的挑战.本文介绍了裂隙岩体地下水溶质运移的多尺度概念模型及其物理和数学模拟方法,并探讨了模拟尺度与观测尺度、预测尺度、裂隙介质尺度之间的关系及尺度效应的分形特征.  相似文献   

横向各向同性介质中的弹性波方程逆时偏移及其成像条件   总被引：1，自引：3，他引：1  

李国发  熊金良  何兵寿 《物探化探计算技术》2002,24(4):289-293,327

作者在本文中导出了在横向各向同性介质情况下，二维弹性波逆时传播的高阶差分格式，实现了弹性波在数值空间中的逆时延拓，从snell定量出发，采用插值法求取网格空间中各点的直达波旅行时，以此作为弹性波逆时偏移的成像条件，实现多波多分量资料的逆时偏移，数值试验表明，逆时偏移能够使地表接收到的波场准确归位，提高资料处理的精度。  相似文献   

Estimation Of Sensible Heat Flux From The Surface Temperature Wave And One-Time-Of-Day Air Temperature Observation, Part Ii – Heterogeneous Surfaces     

K. Blümel 《Boundary-Layer Meteorology》2001,98(2):183-218

By means of the algorithm presented in Part I of this study, the temporal course H(t) and the daily mean H of the sensible heat flux H can be determined from measurements of the thermodynamic surface temperature (as a function of time) and from a one-time-of-day air temperature observation. Inaddition to these temperatures, one needs estimates of daily mean wind speed,of the roughness lengths of momentum and heat transfer, and of the displacementheight. In Part I, the algorithm was derived for areas with homogeneous surfaces,i.e., with uniform surface temperature, and the method was verified with measurements taken during several field campaigns. The root mean square error for the temperature difference between surface and air, in the comparison between measurement and model, amounted to one or two kelvin, and the error of H was 10 to 25 per cent. The method can be used to determine the sensible heat flux from measurements of surface temperatures by satellites, but can also be applied to ground based measurements.In Part II, the procedure is generalized for areas that consist of various surface types (sub-regions) with different surface temperatures, and can be usedwhen only a few (at least one) air temperature measurements per day are available over only one of the different sub-regions. This generalization should allow improvements to the estimates for H(t) by means of temperature measurements from, e.g., NOAA/AVHRR or LANDSAT/TM, taking into account the heterogeneity of the area contained in one METEOSAT pixel. Criteria are given as to whether effective (areal mean) surface temperatures and roughness lengths may be used for the computation of H or if the above mentioned generalized procedure has to be applied. The new algorithm is verified by measurements sampled during the field campaigns EFEDA 91 (Spain) and HIBE 89 (Hildesheimer Börde in Germany), and by using synthetic data (due to the lack of measured data) for one further combined surfacetype [soil and water (lakes)].  相似文献   

Characterization of granite matrix porosity and pore-space geometry by in situ and laboratory methods   总被引：3，自引：0，他引：3  

M. Schild  S. Siegesmund  A. Vollbrecht  M. Mazurek 《Geophysical Journal International》2001,146(1):111-125

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Modelling elastic media with the wavelet transform     

João Willy Corrêa Rosa  Fabbryccio Akkazzha C. M. Cardoso  Keiiti Aki  Henrique S. Malvar  Fredy A. Villaorduña Artola  José Wilson Corrêa Rosa 《Geophysical Journal International》2001,146(2):454-488

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