24 Feb 2023
 | 24 Feb 2023

A Novel Eulerian Reaction-Transport Model to Simulate Age and Reactivity Continua Interacting with Mixing Processes

Jurjen Rooze, Heewon Jung, and Hagen Radtke

Abstract. In geoscientific models, it can be useful to attribute properties to particles in a continuum. Lagrangian frameworks aim to simulate sufficiently large numbers of individual particles to describe the evolution of the properties and their statistical distributions. Here we present an Eulerian approach: Diffusion-advection-reaction type of partial differential equations are derived for centralized moments, which can describe the distribution of properties associated with chemicals in reaction-transport models. When the property is age, the equations for centralized moments (unlike non-central moments) do not require terms to account for aging, making this method suitable for modeling age tracers. The properties described by the distributions may also affect reaction rates. In practical applications, continuous distributions of ages or reactivities are resolved to simulate organic matter mineralization in surficial sediments, where transport is typically dominated by macrofaunal and physical mixing processes. These applications show the potential of the method to simulate reactivity continua in disturbed environments and reveal practical limitations.

Jurjen Rooze et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2023-46', Anonymous Referee #1, 07 Apr 2023
  • RC2: 'Comment on egusphere-2023-46', Anonymous Referee #2, 14 Jun 2023
  • AC1: 'Comment on egusphere-2023-46', Jurjen Rooze, 11 Jul 2023

Jurjen Rooze et al.

Jurjen Rooze et al.


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Short summary
Chemical particles in nature have properties such as age or reactivity. Distributions can describe the properties of chemical concentrations. In nature, they are affected by mixing processes, such as chemical diffusion, burrowing animals, bottom trawling, etc. We derive equations for simulating the effect of mixing on central moments that describe the distributions. Then, we demonstrate applications in which these equations are used to model continua in disturbed natural environments.