Lumped-Parameter Models for Solute Transport with Runoff

  • Vyacheslav G. Rumynin
Part of the Theory and Applications of Transport in Porous Media book series (TATP, volume 26)


The use of lumped-parameter models is justified when runoff solute content at a hillslope or catchment outlet is governed by the kinetics of soil solute release (or solute removal from the contaminated soil surface) into runoff, rather than overland flow dynamics (variations in the velocities and thickness). Such models allow the infiltration (rainwater flowing downwards into the soil) and capillary effects at the interphase between the soil and water flowing over its surface to be described in detail and soil column inhomogeneity to be taken into account. In such cases, the inertia of water flow, resulting in a time lag between rainfall excess and the slope or catchment outlet discharge can be accounted for in effective parameters in linear or nonlinear flow kinetic equations or such inertia can be neglected completely with the response of the outlet discharge to the rainfall event assumed instantaneous.


Solute Transport Overland Flow Outflow Rate Concentration Function Residence Time Distribution 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Vyacheslav G. Rumynin
    • 1
    • 2
  1. 1.Institute of Environmental GeologyThe Russian Academy of SciencesSaint PetersburgRussia
  2. 2.Institute of Earth SciencesSaint Petersburg State UniversitySaint PetersburgRussia

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