1. Agricultural drainage
         criteria 
   
   
    
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         This is a book chapter dealing with drainage
         systems,
         effects on agriculture, design criteria and examples
         in various agro-climatic zones. 
         The table of contents 
         may be viewed here.
 
        
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     2. Data analysis in drainage
        research 
    
    
     
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          This is a lecture note with examples of application
          of four software packages on this web site
          (CumFreq, SegReg, EnDrain and RainOff) and 
          other analysis topics. 
          View table of contents
          here.
 
        
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     3. Energy balance of
         groundwater flow 
    
    
     
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          This is copy of an article published earlier. It
          gives physical theory of groundwater hydraulics.
           
          View abstract.
 
        
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     4. Application of the energy
         balance of steady state groundwater flow to
         pipe drains and ditches  
    
    
     
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          This is an article (view 
          abstract) giving
          the mathematical theory and examples
          of groundwater movement and seepage
          used in the EnDrain program, see below. 
           
          For comparison, an article on both steady and 
          non-steady state drainage, using both the 
          EnDrain and RainOff software, see below,
          can be read
       over here
          
 
  
       
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        5. Well spacing
            equations for subsurface drainage of
            agricultural land by pumped wells  
      
      
       
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           This paper can be used as a manual of the 
           WellDrain program (see Software page). 
           For information on well pumping tests for aquifer
           properties visit the same page.
 
          
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       6. Determining hydraulic
           conductivity of soils 
       
      
       
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           This is a book chapter dealing with the
           determination of the saturated hydraulic
           conductivity of soils using small and large scale
           methods  
           The table of contents may
           be viewed here.
 
          
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       7. SaltMod manual 
       
      
       
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           This manual gives a description of the Saltmod
           model (see Software page or below) including its
           principles, user menu, and case studies. 
           See table of contents
           
 
          
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        8. SahysMod manual 
       
      
       
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           This manual gives a description of the SahysMod
           model (see Software page or below)including its
           principles, user menu, and case studies 
           SahysMod is a combination of Saltmod and a
           mathematical (numerical) groundwater model
           simulating water flow and salinity in unconfined
           and semiconfined (leaky) aquifers using a 
           polygonal network with nodal points. 
           See table of contents
           
 
          
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           9. Subsurface drainage
              equations using the full energy balance
              of       groundwater flow in 
              layered and/or anisotropic soils.
            
          
           
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                This is an article on the use of the steady
                state 
                EnDrain model
                 for subsurface land drainage published in
                 the International Journal of Research in 
                 Agriculture and Forestry. For comparison
                 an article on both steady and non-steady
                 state drainage, using both 
                 EnDrain and
                 RainOff can be
                 read
        over here
                
  
             
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           9. Rainfall-runoff
           relations of a small valley 
          
          
          
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                This is an article on the use of the 
                RainOff model for
                 the rainfall-runoff relations in a small
                 valley in Sierra Leone published in the
                 International Journal of Environmental
                 Science.
             
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                  Water balance factors in
            SaltMod and         SahysMod
         
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           Example of results of the RainOff model simulating
           runoff.
         
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   B) - Free software and models 
 
 
 
 
  
   
    RainOff 
   
   
      helps in modelling effective rainfall, recharge, water
      storage, runoff, drainage and discharge relations in
      hydrological catchment areas (watersheds) using  
      the concept of a nonlinear reservoir.
     
       
   
    EnDrain 
   
   
      does calculations on horizontal subsurface drainage
      systems in agriculture, hydraulic head, depth and level
      of water-table in agricultural land, and drain spacing
      using the energy balance of groundwater flow but also
      the Darcy and continuity equation (mass balance of
      water). It includes drain entrance resistance and soil
      anisotropy of hydraulic conductivity (soil permeability
      for water), i.e. the horizontal and vertical hydraulic
      conductivity are different. Applicable to pipe/tile
      drains (drain pipes) and open ditches.
    
       
   
    WellDrain 
   
   
     Calculates the spacing of wells, the shape, depth, and
     level of the watertable in vertical drainage systems 
     using pumped wells. Like EnDrain, it permits aquifers
     with various different properties and, in addition,
     fully/partially penetrating wells.
    
       
   
    SaltMod 
   
   
     a mathematical, numerical simulation model describing
     the relations between agriculture, crop rotation,
     irrigation, rainfall, potential and actual,
     evaporation (evapotranspiration), climate, 
     hydrology, depth and level
     of water-table, capillary rise, deep percolation, soil
     salinity and subsurface drainage by drains or wells, and
     reuse (conjunctive use) of ground and drain water from
     wells. It includes farmers' responses to water logging
     and soil salinity.
    
       
   
     SaltCalc 
   
   
      A simplified version of SaltMod with the advantage that
      calculations can be made for shorter time steps (e.g.
      weekly or monthly). SaltCalc can be used when field
      observations of irrigation, water table and soil
      salinity have been made and one wishes to develop a
      model for that situation. Normally, calibration of
      unknown values must be done using a range of values of
      the corresponding variable, running the model
      repeatedly for a number of time steps, and 
      selecting from the range
      the value giving model results closest to observed
      values as the optimal value. 
    
       
   
     LeachMod 
   
   
     This model is somewhat similar to SaltCalc. On the one
     hand the water management options are fewer (e.g.
     re-use of drainage or well water for irrigation do not
     feature here), but the model is more modern in the
     sense that the variable input for each time step is
     given in a table so that the calculations over all
     the time steps are done in one go. Moreover, by
     inserting the observed values of soil salinity in
     the data table, the model optimizes the leaching
     efficiency of the soil.
    
      
   
     SahysMod 
   
   
     a combination of Saltmod with a model of ground water
     flow and hydraulics to account for large spatial
     variation through a network of polygons. It includes
     phreatic (unconfined) aquifers as well as soil layers
     with slow vertical hydraulic conductivity (soil
     permeability for water) resulting in semiconfined
     (leaky) aquifers. 
   
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   C) - Frequently asked questions 
 
 
 
 
  
   
    
     
      
       
        
          
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          Depth of the watertable and crop production, field
          data      
         
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        1a - What is waterlogging? (This is probably the most
             frequently asked question)
                     
                     
     
     
      
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           In agriculture, waterlogging means that the soil is
           considered too wet to cultivate crops profitably
           (except lowland rice). 
           Waterlogging can be stagnation of water on top
           of the soil surface and/or the presence of
           a high water table inside the soil (at a
           depth of say 0.7 m on average). 
           Surface waterlogging can be seen as a flood
           control problem or a surface drainage
           problem. 
           Subsurface waterlogging can be tackled by a
           subsurface drainage system. 
           As an alternative one may opt for another kind of
           land use. 
           More information can be found in an article on
            Drainage Criteria
           and in a paper on world wide cases of 
            Drainage
            Systems. 
           See also 
           Wikipedia (watertable control) 
 
         
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      1b - Why is soil drainage required for plant growth?
     
     
      (Also a very frequently asked question)
                     
                 
     
     
      
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           Drainage is required when the soil is too wet
           (waterlogged) for optimium crop growth. Then, the
           soil needs to be made dryer by drainage.  
           There is a series of reasons why crop growth is
           hampered in waterlogged conditions. 
           The article on 
           Agricultural Drainage criteria explains some of
           the mechanisms and gives examples of crop response
           to waterlogging and yield increase with drainage
           (chapter 17.4). 
           Other examples of crop responses to drainage can be
           found in: Drainage
           reseach in farmers' fields 
 
          
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     2 - What kind of drainage systems are applicable under
         what conditions?
 
    
   
    
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        It is difficult to give a generally valid answer to
        this question, but the paper on surface and subsurface
        drainage systems
        gives a summary of practical experiences with
        different methods under varying agro-climatologic
        conditions.
 
       
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      3 - How can I calculate drainage discharge needs and
      irrigation/leaching requirements for salinity control
      using water and salt balances without resorting to
      simulation models like SaltMod and SahysMod?
 
     
    
     
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         It is difficult to give a generally valid answer to
         this question, but the paper on surface and 
         subsurface drainage 
         systems  gives a summary of practical experiences
         with different methods under varying
         agro-climatologic conditions.
 
        
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       4 - What is the influence of land slope on the spacing
       of subsurface drains?
 
     
    
     
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          The answer is: for drain spacing calculations the
          slope of the land has little influence. For this
          purpose, sloping lands may considered as if they
          were flat. 
          This is a paper with 
          mathematical explanations
 
        
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        5 - How can hydraulic conductivity (permeability) of
        the soil be measured and determined?
 
      
     
      
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            The measurement of hydraulic conductivity can be
            done in the laboratory or in the field, above or
            below the water table, using small scale (auger
            hole method, infiltration method) and large scale
            methods (e.g. using drainage data in existing
            experimental fields or in farm land). 
            A full description is given in the chapter
            "Measurement of hydraulic
            conductivity of soils". 
            See also the table of
            contents on line. 
            For well pumping tests to determine aquifer
            hydraulic properties see the WellDrain model
            (software page).
 
         
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        6 - Drain spacing equations for horizontal tile/pipe
        drains are well known. Can subsurface drainage also be
        done by (tube)wells and how can the required
        spacing be calculated?
 
      
     
      
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            The calculation of well spacings for subsurface
            drainage can be done with the WellDrain program
            (see software page). The theory behind it is
            discussed in the paper 
            Well spacing equations. 
            For well pumping tests to determine aquifer
            hydraulic properties see the WellDrain model
            (software page).
 
         
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        7 - What is the optimimum depth of the water table and 
        how can we develop suitable drainage criteria to
        design a subsurface drainage system
 
       
      
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