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Soil Physics with PythonTransport in the Soil–Plant–Atmosphere System$
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Marco Bittelli, Gaylon S. Campbell, and Fausto Tomei

Print publication date: 2015

Print ISBN-13: 9780199683093

Published to Oxford Scholarship Online: August 2015

DOI: 10.1093/acprof:oso/9780199683093.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use.date: 26 June 2022

Soil Gas Phase and Gas Diffusion

Soil Gas Phase and Gas Diffusion

(p.40) 3 Soil Gas Phase and Gas Diffusion
Soil Physics with Python

Marco Bittelli

Gaylon S. Campbell

Fausto Tomei

Oxford University Press

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.

Keywords:   diffusion of gases, transport equation, matrix system, steady-state gas flow, boundary conditions

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