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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

Chapter:
(p.40) 3 Soil Gas Phase and Gas Diffusion
Source:
Soil Physics with Python
Author(s):

Marco Bittelli

Gaylon S. Campbell

Fausto Tomei

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199683093.003.0003

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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