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Introduction to geochemical modeling

Author: Francis Albarède
Publisher: [Cambridge] : Cambridge University Press, 1995.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Francis Albarède
ISBN: 0521454514 9780521454513
OCLC Number: 29594860
Description: xix, 543 pages : illustrations ; 26 cm
Contents: 1. Mass balance, mixing, and fractionation. Concentrations as mixing variables. Reactional assemblage. Working with ratios. Normalized variables. Incremental processes (distillation) --
2. Linear algebra. A matrix refresher. Square matrices. Eigencomponents. Quadratic forms and associated quadrics. Systems of linear differential equations. Linear function spaces --
3. Useful numerical analysis. Functions of a single variable. Functions of several variables. Partial differential equations: the finite differences method --
4. Probability and statistics. A single random variable. Several random variables. Error propagation and error calculation. Principal component analysis --
5. Inverse methods. Linear estimates. Non-linear least-squares. Constrained least-squares. Handling errors in least-square problems. Gradient projection and the total inverse. The continuous inverse model --
6. Modeling chemical equilibrium. The Newton-Raphson method applied to solutions. Gibbs energy minimization --
7. Dynamic systems. Single-variable residence time analysis. One element in several interacting reservoirs. Several elements in several interacting reservoirs --
8. Transport, advection, and diffusion. Fluxes. The divergence theorem and the conservation equations. Advection and percolation. Diffusion basics. Solutions of the diffusion equation: parallel flux. Radial flux and spherical coordinates. The diffusion coefficient varies with time. Two useful steady-state solutions. Simultaneous precipitation and diffusion --
Appendix 8A: The error function --
Appendix 8B: The theta functions --
Appendix 8C: Duhamel's principle --
9. Trace elements in magmatic processes. Batch-melting and crystallization. Incremental processes. Open magmatic systems. Which element, which process? Disequilibrium fractionation during crystal growth.
Responsibility: Francis Albarède.
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