Diagenetic Models and Their Implementation: Modelling Transport and Reactions in Aquatic Sediments

a²c Abramowitz and Stegun advection approximation arbitrary Archie's Law average Berner Bessel function biodiffusion bioturbation Boudreau boundary conditions burial velocity C₁ calculated central difference Chapter Chem chemical concentration conservation equation coordinate system Cosmochim dC dx decay defined depth derivative diagenesis diagenetic equations diagenetic models differential equations diffusion coefficient diffusive flux dx dx example finite differences flow fluid formulas given by Eq gradient Guinasso HCO3 homogeneous integration constants irrigation Jour kinetics Laplace transform layer linear mathematical method mixing molecular diffusion nonlinear nonlocal obtain organic matter Özisik parameter particles PDEs porewater porosity problem rate constant reaction term result scale scheme second-order sediment sediment-water interface solid species solution to Eq solve spatial substitute surface Taylor series time-dependent tion tortuosity tracer transform transport values viscosity volume zero αξ Δι Δχ әс дв дг дх