Problem

Use the following data to determine a best-fit relationship in the form of Eq. 8.7 between...

Use the following data to determine a best-fit relationship in the form of Eq. 8.7 between the drainage area and 50-yr flood for the given region.

Peak Flood Frequency Discharges (cfs) for Stations in the Rappahannock River Basin

Station

Drainage area (mi)

Type of series

2.33 (mean)

Return period in years

5

10

25

50

Rappahannock

 

 

 

 

 

 

 

River near

192

Annual

4,150

8,350

9,000

14,000

19,250

Warrenton, VA

 

Partial

4,600

8,650

9,200

14,000

19,250

Rush River at

 

 

 

 

 

 

 

Washington, VA

15.2

Annual

530

860

1,290

2,100

3,000

 

 

Partial

610

900

1,310

2,100

3,000

Thornton River

 

 

 

 

 

 

 

near Laurel

142

Annual

5,900

11,500

19,900

34,000

48,000

Mills, VA

 

Partial

7,200

12,500

20,500

34,000

48,000

Hazel River at

286

Annual

7,300

11,800

17,200

25,000

41,000

Rixeyville, VA

 

Partial

8,300

12,400

18,000

25,500

41,000

Rappahannock

 

 

 

 

 

 

 

River at

616

Annual

11,000

14,500

18,100

24,500

31,000

Remington, VA

 

Partial

12,000

15,200

18,900

25,000

31,000

Rappahannock

 

 

 

 

 

 

 

River at Kellys

641

Annual

12,300

19,000

26,800

42,000

57,500

Ford, VA

 

Partial

14,000

20,000

27,500

42,000

57,500

Mountain Run near

14.7

Annual

750

1,750

3,350

6,000

10,000

Culpeper, VA

 

Partial

950

1,900

3,550

6,000

10,000

Rapidan River near

111

Annual

3,950

7,100

11,600

21,000

34,000

Ruckersville , VA

 

Partial

4,700

7,700

12,000

21,000

34,000

Robinson River near

180

Annual

4,600

7,000

9,800

15,400

21,500

Locust Dale, VA

 

Partial

5,150

7,300

10,100

15,800

21,500

Rapidan River near

456

Annual

9,100

16,400

26,900

50,000

78,000

Culpeper, VA

 

Partial

10,800

17,600

27,600

50,000

78,000

Rappahannock

 

 

 

 

 

 

 

River near

 

 

 

 

 

 

 

Fredericksburg, VA

1,599

Annual

26,000

39,900

55,000

85,000

117,000

 

 

Partial

29,300

42,000

57,500

85,000

117,000

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