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Ground-water development in East St. Louis area, Illinois. Urbana, IL ...

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where:<br />

(16)<br />

(17)<br />

(18)<br />

The reach of the streambed, , with<strong>in</strong> the <strong>area</strong> of <strong>in</strong>fluence<br />

of pump<strong>in</strong>g is determ<strong>in</strong>ed by not<strong>in</strong>g the location<br />

of the po<strong>in</strong>ts upstream and downstream where drawdown<br />

is negligible (say 0.01). The <strong>area</strong> of <strong>in</strong>duced <strong>in</strong>filtration,<br />

A r , is then the product of L r and the average<br />

distance between the river's edge and the recharge<br />

boundary.<br />

The <strong>in</strong>filtration rate of the stream bed per unit <strong>area</strong><br />

can be computed with the follow<strong>in</strong>g equation:<br />

where:<br />

(19)<br />

Rough approximations of the average head loss, s r ,<br />

due to the vertical percolation of <strong>water</strong> through the<br />

stream bed can be determ<strong>in</strong>ed by averag<strong>in</strong>g drawdowns<br />

computed at many po<strong>in</strong>ts with<strong>in</strong> the <strong>area</strong> of <strong>in</strong>filtration.<br />

Values of drawdown with<strong>in</strong> the stream-bed <strong>area</strong> of <strong>in</strong>filtration<br />

are computed, tak<strong>in</strong>g <strong>in</strong>to consideration the<br />

pumped well and the image well associated with <strong>in</strong>duced<br />

<strong>in</strong>filtration, with equations 14 through 18.<br />

The average <strong>in</strong>filtration rate of the stream bed per<br />

unit <strong>area</strong> per foot of head loss can be estimated by use of<br />

the follow<strong>in</strong>g equation:<br />

where:<br />

(20)<br />

The <strong>in</strong>filtration rate of the Mississippi River bed at<br />

three sites was determ<strong>in</strong>ed from aquifer-test data. The<br />

sites are just south of the confluence of Wood River and<br />

Figure 55. Graph show<strong>in</strong>g the relationship between percent of<br />

pumped <strong>water</strong> be<strong>in</strong>g diverted from a stream and the factor 'f'<br />

the Mississippi River, west of Wood River, and west of<br />

Monsanto. A summary of the results of aquifer tests<br />

and computed <strong>in</strong>filtration rates are given <strong>in</strong> table 27. The<br />

<strong>in</strong>filtration rate near the confluence of Wood River and<br />

the Mississippi River at a river temperature of 33F was<br />

estimated to be 305,000 gpd/acre/ft; the <strong>in</strong>filtration rate<br />

west of the city of Wood River was estimated to be<br />

36,300 gpd/acre/ft; and the <strong>in</strong>filtration rate west of<br />

Monsanto at a river temperature of 83F was estimated<br />

to be 91,200 gpd/acre/ft.<br />

Infiltration rates per foot of head loss vary with the<br />

temperature of the river <strong>water</strong>. Average monthly <strong>in</strong>filtra-<br />

48

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