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WELL HYDRAULICS <br />Ground surface <br />Radius of well- r A <br />pe to <br />R water table <br />4 Radius of influence — _ SWL- <br />cone of / <br />depression <br />Drawdown <br />Drawdown curve in well. <br />H - h <br />Pumping water level- H <br />Saturated �_ <br />thickness of - h <br />formation <br />before <br />pumping <br />Well screen <br />Figure 9.8. Well in an unconfined aquifer showing <br />the meaning of the various terms used in the equi- <br />librium equation. <br />R <br />14- Radius of influence <br />-� Cone of <br />-,,depression <br />Drawdown curve <br />(potenhometnc surface) <br />Pumping water level— <br />Thickness of <br />water - bearing <br />formation <br />213 <br />Ground surface <br />Depth to static <br />potent4ometnc surface <br />i <br />/ ZDawdown <br />rn well, <br />H - h <br />H <br />Figure 9.9. Well in a confined aquifer showing the <br />meaning of various terms used in the equilibrium <br />equation. <br />tions, all dynamic conditions in the well and ground are assumed to be to equilibrium, <br />that is, the discharge is constant, the drawdown and radius of influence have stabilized, <br />and water enters the well in equal volumes from all directions. Both assume horizontal <br />flow everywhere in the aquifer with recharge occurring at the periphery of the cone of <br />depression. Figure 9.8 shows a vertical section of a well constructed in an unconfined <br />aquifer. The equation for the well yield of an unconfined aquifer is: <br />English Engineering Units* <br />K (H2 - h') <br />Q 1,055 log R/r <br />where <br />Q = well yield or pumping rate, in gpm <br />K = hydraulic conductivity of the water - <br />bearing formation, in gpd /ft- <br />H = static head measured from bottom <br />of aquifer, in ft <br />h =depth of water in the well while <br />pumping, in ft <br />International System of Units* <br />1.366 K (H2 - h2) <br />Q log R/r <br />where <br />Q = well yield or pumping rate, in m`/ day <br />K = hydraulic conductivity of the water - <br />bearing formation, in m` /day /m2 <br />(m /day) <br />H= static head measured from bottom <br />of aquifer, in m <br />h =depth of water in the well while <br />pumping, in m <br />'The United States is slowly converting to the International System of Units from the older English sys- <br />tem. For years the scientific community has used the metric system (now System International (SI)1, but <br />only recently have other business and technological entities adopted it. In the future, many engineers and <br />drillers will have to present information in the metric system. Therefore, equations in both the Sl and <br />English systems of measure are given throughout this text; the SI notation is on the night of each page and <br />the English system is on the left. The complete International System of Units as it applies to water re- <br />sources is given in Appendix 9.A. A convenient unit conversion table is also provided. Symbols used in <br />the text are given to Appendix 9.B. <br />. yt <br />i <br />