ENVIRONMENT OF THE EARTH
ENVIRONMENT OF THE EARTH GEOL 103
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This 5 page Class Notes was uploaded by Brandon Dickinson on Monday October 26, 2015. The Class Notes belongs to GEOL 103 at University of South Carolina - Columbia taught by Staff in Fall. Since its upload, it has received 34 views. For similar materials see /class/229616/geol-103-university-of-south-carolina-columbia in Geology at University of South Carolina - Columbia.
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Date Created: 10/26/15
Datum mane Explanation of Darcy s Law Force F is de ned by Newton s second law of motion Fma Where m is mass kg and a is acceleration meterssecondz Therefore F is measured in kg m s2 Pressure P is de ned as the ratio of a perpendicular Force F by the area A that F is applied on PFA Dimension of Pressure FL2 Where L stands for length Pu it is the pressure divided by the unit weight of water u is measured in FL3 and therefore the ratio Pu is measured in units of length In the Darcy experiment the term z measures the potential energy in meters and Pu the pressure energy in meters The sum h zPu is called hydraulic head and is the total energy of groundwater at a point Water loses energy as it moves from one point 1 to a next point 2 This loss is given by HL 2 Plu Z1 39 Pzu Z2 The hydraulic gradient is de ned as I HL L The loss of energy When water travels a distance L Darcy measured the ow of water the discharge Q through a column of sand with length L and crosssectional area A and found that When he plotted on the yaXis the Q versus hL Q versus A and Q versus L Q is proportional to hL Q is proportional to A Q is proportional to lL From these we have Darcy s law Q proportional to IA Or QKIA
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