Percolation Approach to Find Hydraulic Conductivity in Realistic Geologic Media

在现实地质介质中寻找水力电导率的渗流方法

• 批准号: 0711481
• 负责人: Allen Hunt
• 金额: $ 3.68万
• 依托单位: Wright State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-07-15 至 2009-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0711481&HistoricalAwards=false
• 关键词: Percolation; Approach; Find; Hydraulic; Conductivity

A percolation theoretically based treatment of the upscaling of the hydraulic conductivity using a uniquely detailed and realistic digital model of the sedimentary structure of a braid belt is proposed. Critical path analysis, based on percolation theory, has been used to address the question of upscaling the hydraulic conductivity for simplified models and generated results in agreement with simulations for isotropic media, and with field results for anisotropic media.The digital representation of the sedimentary deposit is currently being created by colleagues to incorporate realistic architecture from the scale of centimeters up to the scale of kilometers. As the authors state, a model with this range of scales is unprecedented. The digital deposit will represent the hierarchical sedimentary architecture of fluvial braid-belt deposits, common in both aquifers and petroleum reservoirs. Using such a digital model will allow in principle detailed predictions as well as comparison with simulations as "ground truth," at least as regards the ability of theory to treat the model.Intellectual merit of the proposal is three-fold. 1) It will be possible to develop a simple numerical routine for generating a distribution of K values as a function of support volume scale. This routine will likely be adaptable to a fairly wide range of realistic media. 2) Verification of the hypotheses proposed relating the isolation of geological and statistical (percolation) effects on spatial correlation will assist in application of critical path analysis to arbitrary and realistic geologic media. 3) The likely combination of multi-scale heterogeneity with (different) anisotropy at every scale will produce a more complex dependence of both K on scale and its spatial correlations than has previously been investigated by the proposed techniques, allowing potentially a quantitative isolation of various effects.Broader impacts from such a study include an increased understanding of how heterogeneity on multiple scales influences the scale-dependence of the hydraulic conductivity and its distribution. The resulting numerical routine for applying critical path analysis to more arbitrary (and realistic) media will be made available to the community. And a graduate student will be trained at a nexus of physics, hydrogeology,and sedimentology.

本文提出了一种基于渗流理论的处理方法，该方法采用了一种独特的、详细的、真实的辫状带沉积构造数字模型。基于渗流理论的关键路径分析已被用于解决简化模型中水力导电性升级的问题，其结果与各向同性介质的模拟结果和各向异性介质的现场结果一致。沉积沉积物的数字表示目前正在由同事创建，以结合从厘米到公里的尺度的现实建筑。正如作者所说，这种规模的模型是前所未有的。数字矿床将代表河流辫状带矿床的分层沉积构型，在含水层和油藏中都很常见。使用这样的数字模型，原则上可以进行详细的预测，并与模拟进行比较，作为“基本事实”，至少就理论处理模型的能力而言。这个建议的智力价值有三方面。1)将有可能开发一个简单的数值例程来生成K值作为支持体积规模的函数的分布。这个例程可能适用于相当广泛的现实媒体。2)验证有关隔离地质和统计（渗透）效应对空间相关性的假设，将有助于将关键路径分析应用于任意和现实的地质介质。3)每个尺度的多尺度异质性与（不同）各向异性的可能组合将使K对尺度及其空间相关性的依赖比以前所提出的技术所研究的更为复杂，从而可能对各种影响进行定量隔离。该研究的更广泛影响包括加深了对多尺度非均质性如何影响水力导电性及其分布的尺度依赖性的理解。所得到的将关键路径分析应用于更任意（和现实）媒体的数值例程将提供给社区。研究生将接受物理学、水文地质学和沉积学的综合训练。