Collaborative Research: Scaling Theories of 3-D Geometry and Flows of River Networks
合作研究:3-D 几何尺度理论和河网流量
基本信息
- 批准号:9421445
- 负责人:
- 金额:$ 10.79万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:1995
- 资助国家:美国
- 起止时间:1995-08-01 至 1998-07-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
9421445 Waymire One of the classic problems in fluvial geomorphology and river basin hydrology is prediction of flows from ungauged river basins. This is a very difficult problem because not only does it involve notions of dynamics via the conservation equations, but also that of geometry via branching of river networks, and of probability due to the presence mf fluctuations in river flows and river networks. Since these notions recur across a broad range of spatial scales, the focus of our proposed research is on developing and empirically testing scaling invariance ideas and theories. For the past several years, both the PIs have been extensively involved in exploring a scaling framework to study spatial rainfall, peak river flows viewed as channel forming discharges, and the 3-D structure of river networks. Several unexpected and significant developments in this line of research within the last three years show that the scaling invariance ideas provide a very rich framework to tackle this problem. In this proposal our objectives are: (1) to develop a geometric-statistical scaling theory of river networks, (2) to develop a statistical-dynamic scaling theory of river runoff, which are viewed as channel-forming discharges, (3) to develop a geometric-statistical-dynamic scaling theory to connect the 3-D geometry of river networks and flows and (4) to carry out tests of the theories in Objectives 1,2, and 3 via spatial data analysis and simulations. This proposed research addresses how different notions of scaling, namely, geometric, dynamic, and statistical, can be woven together into a single, coherent theoretical framework to understand the physics of this problem and interpret space-time hydrologic data. It has applications to a variety of hydrologic problems spanning a broad range of space and time scales.
[421445]河流地貌学和流域水文学的经典问题之一是对未测量的河流流域的流量进行预测。这是一个非常困难的问题,因为它不仅涉及守恒方程的动力学概念,还涉及河网分支的几何概念,以及由于河流流量和河网中存在波动而产生的概率。由于这些概念在广泛的空间尺度上反复出现,我们提出的研究重点是发展和实证检验尺度不变性思想和理论。在过去的几年里,这两个pi都广泛参与探索一个尺度框架来研究空间降雨、被视为河道形成流量的河流峰值流量以及河流网络的三维结构。在过去三年中,这一研究领域的一些意想不到的重大发展表明,尺度不变性思想为解决这一问题提供了一个非常丰富的框架。在本提案中,我们的目标是:(1)发展河网的几何统计标度理论,(2)发展河流径流的统计动态标度理论,河流径流被视为形成河道的流量,(3)发展连接河网和流量的三维几何的几何统计动态标度理论,以及(4)通过空间数据分析和模拟对目标1、2和3中的理论进行测试。本文提出的研究解决了如何将不同的尺度概念,即几何、动态和统计,编织成一个单一的、连贯的理论框架,以理解这个问题的物理性质,并解释时空水文数据。它适用于跨越广泛的空间和时间尺度的各种水文问题。
项目成果
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Edward Waymire其他文献
Applications of Statistics to Modeling the Earth's Climate System
统计在地球气候系统建模中的应用
- DOI:
10.5065/d6251g47 - 发表时间:
1994 - 期刊:
- 影响因子:0
- 作者:
Edward Waymire;James McWilliams - 通讯作者:
James McWilliams
Edward Waymire的其他文献
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{{ truncateString('Edward Waymire', 18)}}的其他基金
Collaborative Research: Branching Markov Chains and Stochastic Analysis Associated with Problems in Fluid Flow
合作研究:与流体流动问题相关的分支马尔可夫链和随机分析
- 批准号:
1408947 - 财政年份:2014
- 资助金额:
$ 10.79万 - 项目类别:
Continuing Grant
Residence and First Passage Time Functionals in Heterogeneous Ecological Dispersion
异质生态分散中的停留时间和首次通过时间泛函
- 批准号:
1122699 - 财政年份:2011
- 资助金额:
$ 10.79万 - 项目类别:
Standard Grant
US Executive Participation in Bernoulli Society for Mathematical Statistics and Probability
美国高管参与伯努利数理统计和概率学会
- 批准号:
1031251 - 财政年份:2010
- 资助金额:
$ 10.79万 - 项目类别:
Continuing Grant
Participant Support for 29th Conference on Stochastic Processes and their Applications
第 29 届随机过程及其应用会议的与会者支持
- 批准号:
0308986 - 财政年份:2003
- 资助金额:
$ 10.79万 - 项目类别:
Standard Grant
Collaborative Research: Stochastic and Multiscale Structure Associated with the Navier Stokes Equations.
合作研究:与纳维斯托克斯方程相关的随机和多尺度结构。
- 批准号:
0073958 - 财政年份:2000
- 资助金额:
$ 10.79万 - 项目类别:
Standard Grant
Multi-Scaling Theory and Methods for Random Fields
随机场的多尺度理论与方法
- 批准号:
9803391 - 财政年份:1998
- 资助金额:
$ 10.79万 - 项目类别:
Continuing Grant
Twenty-fifth Conference on Stochastic Processes and Their Applications
第二十五届随机过程及其应用会议
- 批准号:
9727877 - 财政年份:1998
- 资助金额:
$ 10.79万 - 项目类别:
Standard Grant
Collaborative Research: Scaling Theories of Hydrology, Hydraulics and Geometry of River Networks
合作研究:水文学、水力学和河网几何的尺度理论
- 批准号:
9220053 - 财政年份:1993
- 资助金额:
$ 10.79万 - 项目类别:
Standard Grant
Mathematical Sciences: Structure Function Asymptotics for Correlated Random Fields and Networks
数学科学:相关随机场和网络的结构函数渐近
- 批准号:
8801466 - 财政年份:1988
- 资助金额:
$ 10.79万 - 项目类别:
Standard Grant
Fundamental Analysis of Space-Time Rainfall Field Structure
降雨时空场结构的基本分析
- 批准号:
8303864 - 财政年份:1983
- 资助金额:
$ 10.79万 - 项目类别:
Standard Grant
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