Determining Rainfall Amounts with a Specific Probability of Occurence
Shows you how to use extreme value type 1 distribution and Gumbel distribution to find IDF curves for specific rainfall intensities
Applicable to anyone trying to calculate IDF curves, specifically in environmental engineering and the sciences
Performs using frequency analysis techniques, extreme value type 1 distribution, IDF curves, Excel, Gumbel, maximum depth equation, standard deviation, probability occurrence, intensity, IDF curve plot
This worksheet using PTC Mathcad provides you with the data for twenty years of annual maximum rainfall depths for specified durations. The worksheet shows you how to use frequency analysis techniques (extreme value Type 1 distribution or Gumbel distribution) to find IDF curves for specific rainfall intensities. This worksheet uses data from an Excel spreadsheet within the PTC Mathcad file. Data are read from the spreadsheet, are manipulated in PTC Mathcad, and the IDF curves are plotted.
To begin, you are taught how to read the raw data from the Excel spreadsheet, attach the correct units, and compute the mean and standard deviation of each series. Next you are show how to compute the rainfall amount for each duration and return period using the equation given to you in the worksheet, the appropriate frequency factor, and intensity. To plot, you must place the intensity values in a matrix, along with the duration values. You are then able to plot the IDF curves from 5 to 100 years. In this problem the value of the rainfall amount that has a specified probability of occurrence was computed by assuming that the data followed a Type 1 Extreme value or Gumbel distribution.
This worksheet provides you with notation and step by step instruction for how to calculate the IDF curves from the annual rainfall data. All data, formulas, equations, solutions, and graphs are provided to aid you in your own calculations.