Upscaling Uncertain Permeability Using Small Cell Renormalization   总被引：1，自引：0，他引：1  

J. J. Hastings  A. H. Muggeridge 《Mathematical Geology》2001,33(4):491-505

Sedimentary rocks have structures on all length scales from the millimeter to the kilometer. These structures are generally associated with variations in rock permeability. These need to be modeled if we are to make predictions about fluid flow through the rock. However, existing computers are not powerful enough for us to be able to represent all scales of heterogeneity explicitly in our fluid flow models—hence, we need to upscale. Small cell renormalization is a fast method for upscaling permeability, derived from an analogue circuit of resistors. However, it assumes that the small scale permeability distribution is known. In practice, this is unlikely. The only information available about small scale properties is either qualitative, derived from the depositional setting of the reservoir, or local to the wells as a result of coring or logging. The influence of small scale uncertainty on large scale properties is usually modelled by the Monte Carlo method. This is time-consuming and inaccurate if not enough realisations are used. This paper describes a new implementation of renormalization, which enables the direct upscaling of uncertain small-scale permeabilities to produce the statistical properties of the equivalent coarse grid. This is achieved by using a perturbation expansion of the resistor-derived equation. The method is verified by comparison with numerical simulations using the Monte Carlo method. The prediction of expected large-scale permeability and its standard deviation are shown to be accurate for small cell standard deviations of up to 40% of the mean cell value, using just the first nonzero term of the perturbation expansion. Inclusion of higher order terms allows larger standard deviations to be modeled accurately. Evaluation of cross-terms allows correlations of actual cell values, over and above the background structure of mean cell values. The perturbation method is significantly faster than conventional Monte Carlo simulation. It needs just two calculations whereas the Monte Carlo method needs many thousands of realisations to be generated and renormalized to converge. This results in significant savings in computer time.  相似文献   

含水层中海水入侵的数学模型   总被引：3，自引：1，他引：3       下载免费PDF全文

薛禹群  谢春红 《水科学进展》1992,3(2):81-88

提出了考虑过渡带的适合潜水含水层和承压含水层的海水入侵数学模型,导出了相应的方程和定解条件.经实例验证,模型是合理和可靠的.  相似文献   

2D Coupled 3D:A New Numerical Model for Dual - Structured - Aquifer System     

Chen Chongxi  Fang Shuzhen  Lin Min 《中国地质大学学报(英文版)》1995,(1)

２Ｄ　Ｃｏｕｐｌｅｄ　３Ｄ：Ａ　Ｎｅｗ　Ｎｕｍｅｒｉｃａｌ　Ｍｏｄｅｌ　ｆｏｒＤｕａｌ－Ｓｔｒｕｃｔｕｒｅｄ－Ａｑｕｉｆｅｒ　Ｓｙｓｔｅｍ￥ＣｈｅｎＣｈｏｎｇｘｉ；ＦａｎｇＳｈｕｚｈｅｎ；ＬｉｎＭｉｎ（ＦａｃｕｌｔｙｏｆＥｎｖｉｒｏｎｍｅｎｔａｌＳｃ...  相似文献   

一降水工程的施工和从中引出的思考     

程礼来  王先保  彭建洋  武开文 《河南国土资源》1997,(4)

基坑降水是岩土工程中经常遇到的施工问题。本文展示了一个降水工程实例，从中引伸出本工程尚未遇到而在其他项目中可能会出现并应及时解决的一些技术问题，引起同行的关注与重视。  相似文献   

Predicting DNAPL entrapment and recovery: the influence of hydraulic property correlation     

L. D.?LemkeEmail author  L. M.?Abriola 《Stochastic Environmental Research and Risk Assessment (SERRA)》2003,17(6):408-418

The influence of aquifer property correlation on multiphase fluid migration, entrapment and recovery was explored by incorporating correlated and uncorrelated porosity, permeability, and capillary pressure-saturation (P_c-Sat) parameter fields in a cross-sectional numerical multiphase flow model. Comparison of two-dimensional entrapped organic saturation distributions for a simulated tetrachloroethylene (PCE) spill in ensembles of aquifer realizations suggests that the degree of spatial correlation in P_c-Sat parameters exerts a controlling influence on dense nonaqueous phase liquid (DNAPL) spreading and redistribution in saturated aquifers. The predicted evolution of DNAPL source zones and resultant remediation efficiency under surfactant enhanced aquifer remediation (SEAR) also appear to be strongly influenced by the spatial correlation of aquifer parameters and multiphase flow constitutive relationships. Results for a limited number of realizations selected from each ensemble showed that removal of 60% to 99% of entrapped PCE could reduce dissolved contaminant concentration and mass flux by approximately two orders of magnitude under natural gradient conditions. Aqueous phase contaminant mass flux did not vary uniformly as a function of % DNAPL removed, however, and notable differences in behavior were observed for models incorporating correlated versus uncorrelated P_c-Sat and permeability fields. Although these results must be confirmed through analysis of additional realizations, it is likely that similar or larger differences between correlated and uncorrelated system behavior will be observed in aquifers with greater spatially variability than that of the nonuniform, homogeneous sand aquifer studied here. Funding for this research was provided by the United States Environmental Protection Agency, Great Lakes and Mid-Atlantic Center for Hazardous Substance Research under Grant No. R-825540, the Michigan Department of Environmental Quality under Contract No. Y80011, and the Strategic Environmental Research and Development Program under Project No. CU-1293. The content of this publication does not necessarily represent the views of these agencies and has not been subject to agency review.  相似文献   

Dissolved oxygen and nitrate of groundwater in Choshui Fan-Delta,western Taiwan   总被引：1，自引：0，他引：1  

Wen-Fu?ChenEmail author  Tsung-Kwei?Liu 《Environmental Geology》2003,44(6):731-737

Dissolved oxygen (DO) and nitrate concentrations of groundwater from a total of 191 new monitoring wells, with a maximum depth up to 300 m, in the Choshui fan delta of Taiwan were measured to delineate the regional patterns of the two components. Unconfined aquifers of the proximal part of the fan delta contain 1~7 mg/l of DO, and a 250-m deep well still has an unusual value of 1.83 mg/l. DO concentrations decrease downgradient along flow paths to below detection limit (0.01 mg/l) in shallow confined aquifers during the last 40 years, possibly due to oxidation of organic matters in sediments. A plume of high nitrate-N concentrations (0.5–17 mg/l) originating from the proximal part of the fan delta has been developing, possibly since 1956, due to agricultural fertilizers. From 1997 to 2001, the concentration has increased at a rate of ca. 0.28 mg/l per year.  相似文献   

塔里木与扬子新元古代热-构造事件特征、序列和时代——扬子与塔里木连接(YZ-TAR)假设     

仵彦卿  边农方 《地学前缘》2003,10(4):0-0

淄博市大武水源地是中国北方罕见的特大型岩溶-裂隙地下水水源地,地下水开采量为52×10~4m~3/d。为了对岩溶地下水进行有效监测,需要建立最优的地下水监测网。文中在对岩溶地下水流系统分析的基础上,建立了地下水流系统确定性-随机性数学模型,运用有限元与卡尔曼滤波耦合的模拟递推算法,对大武水源地地下水监测网进行了优化设计,结果显示:现有地下水位动态监测网难以达到监测目标,最优地下水位监测网由14个监测井,每月监测一次的监测频率组成,比现有地下水位监测网减少了2个监测井。  相似文献   

鄂尔多斯盆地白垩系含水层沉积学初探   总被引：21，自引：5，他引：16  

谢渊 王剑殷跃平  武选民文冬光江新胜  罗建宁魏伦武李明辉  郑万模 《地质通报》2003,22(10):818-828

“含水层沉积学”是沉积学、水文地质学、油气储层地质学、地球化学等相互交叉综合的产物,是以沉积学、水文地质学理论为基础,以沉积含水层为主要研究对象,以查明地下水赋存和循环条件、地下水系统结构特征、地下水水质成因与分布以及地下水富集规律为主要研究内容,最终服务于地下水资源勘查评价的一门边缘分支学科。含水层沉积学及水文地质综合研究表明,受到沉积相类型及其空间展布的明显控制,鄂尔多斯盆地白垩系地下水赋存、循环、富集条件以及地下水水质分布总体具有北好南差、盆地南部具有下好上差的宏观规律。  相似文献   

Une dépression piézométrique naturelle en hausse au Sahel (Sud-Ouest du Niger)A rising piezometric depression in the Sahel (southwestern Niger)     

Guillaume Favreau  Christian Leduc  Christelle Marlin  Abdou Guéro 《Comptes Rendus Geoscience》2002,334(6):395-401

In southwest Niger, the Continental Terminal water table displays a natural hollow shape about 10 m in depth over an area of 4000 km². A 10-year survey of this hollow aquifer has shown that current recharge is above $\text{20 }\text{mm}\text{yr}{}^{\mathrm{?1}}$. The water table has risen continuously since the 1950–1960s as a result of land clearance. This shows a disequilibrium in the aquifer balance. The long-term recharge rate is estimated by radioisotopes to be around $\text{1 }\text{mm}\text{yr}{}^{\mathrm{?1}}$. This figure fits with the only possible origin of the piezometric depression, i.e. evapotranspiration losses in its centre. To cite this article: G. Favreau et al., C. R. Geoscience 334 (2002) 395–401.  相似文献   

Natural Geological Weighing Lysimeters: Calibration Tools for Satellite and Ground Surface Gravity Monitoring of Subsurface Water-Mass Change     

Bardsley  W. E.  Campbell  D. I. 《Natural Resources Research》2000,9(2):147-156

Increased accuracy in measuring temporal variations in the Earth's gravity field allow inprinciple the use of gravity observations to deduce subsurface water-mass changes. This canbe with respect to a small area, or as a larger spatial average of water mass change usinggravity observations from low-altitude satellites, such as the forthcoming GRACE mission.At both scales, there is a need to validate gravity-based estimates against field recordings ofactual subsurface water-mass variations. In practice, this could prove difficult because thespatial integral of all water-storage change components can be subject to considerable fieldmeasurement error. An alternative approach to the validation process is proposed by whichsuitable geological formations are utilized as giant weighing devices to directly measure area-integratedwater-mass changes. The existence of such natural geological weighing lysimetersis demonstrated using observations from a replicated experimental site in New Zealand. Sitesof this type could be used to verify water-storage change estimates derived from sensitiveground surface gravity instrumentation. In addition, geological lysimeters could be used tomake local checks on the accuracy of any estimated regional water-mass time series, whichis proposed for satellite calibration. The land area weighed by a geological lysimeter increaseswith formation depth and it is speculated that recordings made at oil well depth may allowdirect monitoring of subsurface water mass changes at the regional scale.  相似文献