Marco Bittelli, Gaylon S. Campbell, and Fausto Tomei
- Published in print:
- 2015
- Published Online:
- August 2015
- ISBN:
- 9780199683093
- eISBN:
- 9780191763175
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199683093.003.0006
- Subject:
- Physics, Geophysics, Atmospheric and Environmental Physics
This chapter introduces the concepts behind the flow of water in soil and the forces that retard water flow. Steady-state water flow in saturated soils is presented and saturated hydraulic ...
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This chapter introduces the concepts behind the flow of water in soil and the forces that retard water flow. Steady-state water flow in saturated soils is presented and saturated hydraulic conductivity is described. Poiseuille’s law is derived and the theory behind water transport in soil is developed. The theoretical basis of the capillary bundle concept and porosity is described. Equations are presented to derive saturated hydraulic conductivity from soil texture data. The unsaturated hydraulic conductivity is derived from knowledge of the soil water retention curve and numerical code is presented to allow the reader to experiment with the features, and limitations, of the different parametric models available.Less
This chapter introduces the concepts behind the flow of water in soil and the forces that retard water flow. Steady-state water flow in saturated soils is presented and saturated hydraulic conductivity is described. Poiseuille’s law is derived and the theory behind water transport in soil is developed. The theoretical basis of the capillary bundle concept and porosity is described. Equations are presented to derive saturated hydraulic conductivity from soil texture data. The unsaturated hydraulic conductivity is derived from knowledge of the soil water retention curve and numerical code is presented to allow the reader to experiment with the features, and limitations, of the different parametric models available.
Marco Bittelli, Gaylon S. Campbell, and Fausto Tomei
- Published in print:
- 2015
- Published Online:
- August 2015
- ISBN:
- 9780199683093
- eISBN:
- 9780191763175
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199683093.003.0003
- Subject:
- Physics, Geophysics, Atmospheric and Environmental Physics
This chapter describes the diffusion of gases in soil and introduces numerical solutions of transport equations. The reader learns how to transform a differential equation into a matrix system. The ...
More
This chapter describes the diffusion of gases in soil and introduces numerical solutions of transport equations. The reader learns how to transform a differential equation into a matrix system. The discretization procedure for numerical differential equations is studied and an algebraic method to solve the matrix system is then described to allow for a clear understanding of methods used throughout the rest of the book. Fundamental properties of gases and of the soil gas phase are provided. The numerical code is provided for a one-dimensional numerical solution of steady-state gas flow in a soil profile. The concept of boundary conditions and their importance for the solution of the equations are explained.Less
This chapter describes the diffusion of gases in soil and introduces numerical solutions of transport equations. The reader learns how to transform a differential equation into a matrix system. The discretization procedure for numerical differential equations is studied and an algebraic method to solve the matrix system is then described to allow for a clear understanding of methods used throughout the rest of the book. Fundamental properties of gases and of the soil gas phase are provided. The numerical code is provided for a one-dimensional numerical solution of steady-state gas flow in a soil profile. The concept of boundary conditions and their importance for the solution of the equations are explained.
