Question: Problem: Frequency Analysis Address river flows over a long time frame (1970-2005) and consider for a log-normal distribution Use the Weibull Formula to determine the
Problem:
Frequency Analysis
Address river flows over a long time frame (1970-2005) and consider for a log-normal distribution
- Use the Weibull Formula to determine the plotting positions of the data in the table below.
- Weibull Formula: T = (n+1)/m and F = 1-[m/(n+1)]
- Where T = time (often years), m = magnitude, n = occurances/events
- Weibull Formula: T = (n+1)/m and F = 1-[m/(n+1)]
- Plot the data yi=logQi vs. xi=probability (cumulative???) on the probability paper attached below.
- Use the plot to determine the flow rates associated with the 5 and 100 year return periods.
| Time (yr) | Qmax (cfs) |
| 1970 | 3420 |
| 1971 | 42700 |
| 1972 | 14200 |
| 1973 | 8000 |
| 1974 | 5260 |
| 1975 | 31100 |
| 1976 | 12200 |
| 1977 | 10000 |
| 1978 | 1430 |
| 1979 | 3850 |
| 1980 | 19300 |
| 1981 | 0 |
| 1982 | 4130 |
| 1983 | 8760 |
| 1984 | 1400 |
| 1985 | 3570 |
| 1986 | 0 |
| 1987 | 4600 |
| 1988 | 5260 |
| 1989 | 6720 |
| 1990 | 20700 |
| 1991 | 10700 |
| 1992 | 0 |
| 1993 | 1590 |
| 1994 | 1770 |
| 1995 | 2430 |
| 1996 | 4660 |
| 1997 | 1010 |
| 1998 | 12100 |
| 1999 | 10300 |
| 2000 | 1400 |
| 2001 | 1300 |
| 2002 | 7560 |
| 2003 | 19300 |
| 2004 | 7340 |
| 2005 | 7340 |
0.5 02 01 40 TO 0.2
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