【全集】2005 MCM A 洪水估计 特等奖论文 教程

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PROBLEM A: Flood Planning 3 ~  I3 ~8 g: S8 I5 I' Z' M; `; V
Lake Murray in central South Carolina is formed by a large earthen dam, which was completed in 1930 for power production. Model the flooding downstream in the event there is a catastrophic earthquake that breaches the dam. Two particular questions: 2 W' n: y5 A$ ^* o- k" x: i

•Rawls Creek is a year-round stream that flows into the Saluda River a short distance downriver from the dam. How much flooding will occur in Rawls Creek from a dam failure, and how far back will it extend?
•Could the flood be so massive downstream that water would reach up to the S.C. State Capitol Building, which is on a hill overlooking the Congaree River?
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" \2 f4 t) `- p: I# k2 p+ k$ ~" R8 S) wMCM2005 A 题: 洪水估计& e/ ~; B1 t* v* r& Z% t
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( S; g: V" e3 c# L位于美国南卡罗莱纳州中部的Murray 湖是因为发电需要而建造的一座大型土坝而形成的，大坝建成于1930 年。假设一场灾难性的大地震造成大坝决口，试对由此而产生的下游洪水进行建模。两个值得注意的问题：0 e+ F' \4 x: w; g+ s' X8 @
' J. q$ d/ o0 v0 A  p4 }. n; A1、Rawls 河是一条四季不断流的、距大坝下游很近的Saluda 河的支流。当大坝决口形成洪水的时候，Rawls 河将遭受多大的洪水？河水倒流会延伸多远？8 o! R/ S! F/ d
2、洪水会波及位于Congaree 河边一座小山上的南卡罗莱纳州议会大厦吗？

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