Lecture 25 - Water Resources R s urc s Engineering E g g...

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Water R s urc s Resources Engineering Prepared by T Wagener & P Reed - Lecture 25 1 Prepared by T. Wagener & P. Reed Penn State University
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Content 1 Data Analysis 1. 2. Probability Concepts 3 C l U d P b bilit Di t ib ti 3. Commonly Used Probability Distributions 4. Hydrologic Design for Water Excess Management 5. Hydrologic/Flood Frequency Analysis 2
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Flood Frequency Analysis 3
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Review According to the U.S. Water Advisory According to the U.S. Water Advisory Committee on Water Data (1982), the Log- Pearson Type III Distribution is the recommended technique for flood frequency analysis in order to promote a i t t h consistent approach. For this distribution the inverse function form i t dil il bl is not readily available, so we use a frequency factor approach. 4
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For Log-Pearson Type III Distribution For Log Pearson Type III Distribution log ( , ) T s y Q y K T G S = + where Q T is the flood discharge value of some specified is the flood discharge value of some specified probability, y is the average of the log Q discharge values, K is a frequency factor, and S y is the standard deviation of the log Q values. deviation of the log Q values. The frequency factor K is a function of the skewness coefficient G S and return period T and can be found using the frequency factor table (following slides) 5 using the (following slides).
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The Problem with Skew The skew coefficient is very sensitive to the The is very sensitive to the size of the sample; thus, it is difficult to obtain an accurate estimate from small obtain an accurate estimate from small samples. The U S Water Resources Council (1981) The U.S. Water Resources Council (1981) recommends replacing the sample skew G with a weighted skew G G s with a weighted skew G w .
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