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Prof. F.T. Mugabe Computer Applications to Water Resources Management (LWR401)

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Presentation on theme: "Prof. F.T. Mugabe Computer Applications to Water Resources Management (LWR401)"— Presentation transcript:

1 Prof. F.T. Mugabe Computer Applications to Water Resources Management (LWR401)

2 Mathematical equations that describe the various processes in the Hydrological Cycle

3 Rainfall interception Vegetation plays a significant and dynamic role in the plant and soil water evaporation from the vadose zone. Vegetation and land use processes may be functionally into – Above ground factors –Surface factors –Below ground factors The Von Hoyningen-Huene method I = 0.3 + 0.27P g +0.13LAI – 0.013P g *LAI –.007LAI 2 Is the above equation empirical or physically based and why?

4 Evapotranspiration There are many methods of estimating Evaporation- ranging from complex physically based equations to simple methods based on simple variables such as temperature (empirical equations) These methods yields different answers under different conditions Which method to use depends on data availability – what data do you have – temperature, RH, radiation, wind speed. Why do we have many options for estimating evaporation in ACRU? (10 marks due date 28/9/06)

5 The Penman equation Has many variants and has been universally the most widely verified and cited standard equation for estimating potential evaporation The equation combines two fundamental approaches, viz: –The mass balance method and –The energy budget approach

6 Temperature based equations for estimating daily evaporation Linacre suit of equations Hargreaves and Sanami Blaney and Criddle Thornthwaite

7 Corrections to point temperature values for altitude WHY- is it necessary??

8 Soil water movement in saturated and unsaturated soils where: q = specific discharge (m 3 /d per m 2 ) K = hydraulic conductivity of aquifer (m/d) h 2, h 1 = hydraulic heads measured along flow path (m) L = distance between head measurements (m) W = width of cross-sectional flow (m) D = height of cross-sectional flow (m) Can you give the derivative of Darcy’s equation for unsaturated soils. Mabhauwe!!!

9 Infiltration equations Green-Ampt Horton Kostiakov Philip Why do the four equations differ?

10 Equations describing runoff SCS equation Rational equation


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