Main Title |
Introduction to geochemical modeling / |
Author |
Albarède, Francis. ;
Albaráede, Francis. ;
Albarede, Francis.
|
Publisher |
Cambridge University Press, |
Year Published |
1995 |
OCLC Number |
29594860 |
ISBN |
0521454514; 9780521454513; 9780511622960; 0511622961 |
Subjects |
Geochemical modeling ;
Géochimie--Modèles mathématiques ;
Geochemie ;
Mathematische Methode ;
Geochemie--(DE-588)4020198-3 ;
Mathematische Methode--(DE-588)4155620-3 ;
Gâeochimie--Modáeles mathâematiques
|
Internet Access |
|
Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
EKDM |
QE515.A53 1995 |
|
CEMM/EPD Library/Athens,GA |
11/26/2012 |
|
Collation |
xix, 543 pages : illustrations ; 26 cm |
Notes |
Includes bibliographical references (pages 526-538) and index. |
Contents Notes |
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. |