Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.2172/985843 |
报告编号 | LBNL-3704E |
来源ID | OSTI ID: 985843 |
A Note on Equations for Steady-State Optimal Landscapes | |
Liu, H.H. | |
2010-06-15 | |
出版年 | 2010 |
语种 | 英语 |
国家 | 美国 |
领域 | 地球科学 |
英文摘要 | Based on the optimality principle (that the global energy expenditure rate is at its minimum for a given landscape under steady state conditions) and calculus of variations, we have derived a group of partial differential equations for describing steady-state optimal landscapes without explicitly distinguishing between hillslopes and channel networks. Other than building on the well-established Mining's equation, this work does not rely on any empirical relationships (such as those relating hydraulic parameters to local slopes). Using additional constraints, we also theoretically demonstrate that steady-state water depth is a power function of local slope, which is consistent with field data. |
URL | 查看原文 |
来源平台 | US Department of Energy (DOE) |
引用统计 | |
文献类型 | 科技报告 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/4712 |
专题 | 地球科学 |
推荐引用方式 GB/T 7714 | Liu, H.H.. A Note on Equations for Steady-State Optimal Landscapes,2010. |
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