Environmental Modeling: Using MATLAB

Environmental Modeling: Using MATLAB

by Ekkehard Holzbecher

Paperback(Softcover reprint of the original 2nd ed. 2012)

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Product Details

ISBN-13: 9783662500538
Publisher: Springer Berlin Heidelberg
Publication date: 05/13/2016
Edition description: Softcover reprint of the original 2nd ed. 2012
Pages: 410
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents


Primer to Modeling with MATLAB[Registered]
Introduction     3
Environmental Modeling using MATLAB[Registered]     3
Introduction to MATLAB[Registered]     7
A Simple Environmental Model     20
MATLAB[Registered] Graphics - The Figure Editor     24
MATLAB[Registered] Help System     25
References     27
Fundamentals of Modeling, Principles and MATLAB[Registered]     29
Model Types     29
Modeling Steps     30
Fundamental Laws     34
Continuity Equation for Mass     36
MATLAB[Registered] M-files     40
Ifs and Loops in MATLAB[Registered]     42
Debugging of M-files     44
Reference     46
Transport     47
The Conservation Principle     47
Pick's Law and Generalizations     49
The Transport Equation     55
Dimensionless Formulation     60
Boundary and Initial Conditions     61
References     63
Transport Solutions     65
ID Transient Solution for the Infinite Domain     65
A Simple Numerical Model     69
Comparison between Analytical and Numerical Solution     77
Numerical Solution using MATLAB[Registered] pdepe     79
Example: ID Inflow Bout     83
References     85
Transport with Decay and Degradation     87
Decay and Degradation     87
ID Steady State Solution     90
Dimensionless Formulation     92
Transient Solutions     98
References     100
Transport and Sorption     101
Interphase Exchange     101
Retardation     107
Analytical Solution     109
Numerical Solutions     111
Slow Sorption     115
MATLAB[Registered] Animations     119
References     121
Transport and Kinetics     123
Introduction     123
Law of Mass Action for Kinetic Reactions     125
Monod, Michaelis-Menten and Blackwell Kinetics     126
Bacteria Populations     128
Steady States     130
References     134
Transport and Equilibrium Reactions     137
Introductory Example     137
The Law of Mass Action for Equilibrium Reactions     141
Speciation Calculations     143
Sorption and the Law of Mass Action     147
Transport and Speciation     150
References     156
Ordinary Differential Equations - Dynamical Systems     159
Streeter-Phelps Model for River Purification     160
Details of Michaelis-Menten or Monod Kinetics     163
1D Steady State Analytical Solution     165
Redox Sequences     173
References     178
Parameter Estimation     181
Introduction     181
Polynomial Curve Fitting     182
Exponential Curve Fitting     185
Parameter Estimation with Derivatives     189
Transport Parameter Fitting     196
General Procedure     199
References     204
Advanced Modeling using MATLAB[Registered]
Flow Modeling     207
The Navier-Stokes Equations for Free Fluids     208
The Euler Equations and the Bernoulli Theorem     213
Darcy's Law for Flow in Porous Media     217
Flow in Unsaturated Porous Media     222
References     227
Groundwater Drawdown by Pumping     229
Confined Aquifer     230
Unconfined Aquifer     232
Half-confined Aquifer      235
Unsteady Drawdown and Well Function     237
Automatic Transmissivity Estimation     238
References     241
Aquifer Baseflow and 2D Meshing     243
1D-Analysis     243
1D Implementation     245
2D Implementation     246
Meshs and Grids     250
Reference     254
Potential and Flow Visualization     255
Definition and First Examples     255
Potential and Real World Variables     258
Example: Groundwater Baseflow and Well     260
MATLAB[Registered] 2D Graphics     264
MATLAB[Registered] 3D Graphics     268
References     270
Streamfunction and Complex Potential     271
Streamfunction     271
The Principle of Superposition     275
Complex Analysis and Complex Potential     282
Example: Vortices or Wells Systems     286
References     291
2D and 3D Transport Solutions (Gaussian Puffs and Plumes)     293
Introduction     293
2D Instantaneous Line Source     298
2D Constant Line Source     299
3D Instanteneous Source     299
3D Constant Source      301
References     305
Image Processing and Geo-referencing     307
Introduction     307
Reading and Display     308
Geo-Referencing     310
Digitizing     312
MATLAB[Registered] Functions     314
References     316
Compartment Graphs and Linear Systems     317
Compartments and Graphs     317
Linear Systems     321
Eigenvalues and Phase Space     331
References     336
Nonlinear Systems     339
Logistic Growth     339
Competing Species     342
Predator-Prey Models     348
Chaos (Lorenz Attractor)     353
References     355
Graphical User Interfaces     357
The MATLAB[Registered] GUIDE     357
The Transport GUI     366
References     369
MATLAB[Registered] Data Import     371
Data Export     375
Data Presentation in a Histogram     377
Epilogue     379
References     380
MATLAB[Registered] Command Index     381
Companion Software List     385
Index      387

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