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OCCURRENCE AND MOYEMENT OF GROUNDWATER 75 <br />hydraulic gradient. If the hydraulic gradient (head loss per unit length of travel) is <br />doubled, the rate of flow in a given sand is also doubled. Conversely, doubling of the <br />flow rate requires doubling of the hydraulic gradient. These ratios apply only to <br />laminar flow, however. If turbulent flow is present, the flow rate does not change in <br />direct proportion with the hydraulic gradient; doubling of the hydraulic gradient may <br />increase the flow rate by only l.5 times. The information in this pazagraph is vital <br />to understanding water-well hydraulics, which is presented in Chapter 9. <br />The slope of the water table or potentiometric surface is the hydraulic gradient <br />under which groundwater movement takes place. The total flow through any vertical <br />section of an aquifer can be calculated if we know the thickness of the aquifer, its <br />width, its average hydraulic conductivity, and the hydraulic gradient. The flow, q, <br />through each foot of aquifer width is: <br />q = Kb7 (5.12) <br />where K is the hydraulic conductivity averaged over the height of the aquifer, b is <br />the aquifer thickness in feet, and I is the hydraulic gradient. <br />Hyarewb oonaucuvity (9vd/n~ <br />fa 1w to fQ` 10• 10 1 1a-~ 10-= to-= fo-~ 10-• to-• fo-~ to-• <br /> Fine to coarse gravel <br /> Fme to coarse sane <br /> Sit, loess <br /> Glacial li9 <br /> UnweaNered marine clay <br /> Shale <br /> Unfracllretl igneous <br /> ono metamorplYC rocks <br /> Sanostone, we9 <br /> cemenleo, unjointeo <br /> Limestone. unjoimea crysta9me <br /> Tuff <br /> '' alone, made <br /> Fracturetl igneous <br />ann mMamrpT~in nwea <br /> Veskvlar basaa <br />Karst 9mestone <br />10• 10' 10= 10= 10 1 10-~ 10- 10-= 10-• 10-s 1p-• 10_r 10-• 10.9 10_,0 <br />Hydaufic tonauctivhy (m/nay) <br />Figtue 5.14. Typical B vdaea for consolidated and maasolidated agldlera. (After Davis, 1969; Dunn <br />and Leopold, 1978; Freeze and Cherry, /979). <br />