By H. M. Haitjema
Modeling has turn into an important instrument for the groundwater hydrologist. the place box facts is proscribed, the analytic point technique (AEM) is swiftly turning into the modeling approach to selection, specifically given the supply of reasonable modeling software program. Analytic point Modeling of Groundwater movement presents all of the fundamentals essential to procedure AEM effectively, together with a presentation of primary strategies and a radical creation to Dupuit-Forchheimerflow. This ebook is exclusive in its emphasis at the genuine use of analytic point versions. Real-world examples supplement fabric awarded within the text.An academic model of the analytic aspect application GFLOW is integrated to permit the reader to breed a few of the recommendations to groundwater stream difficulties mentioned within the textual content. Researchers and graduate scholars in groundwater hydrology, geology, andengineering will locate this booklet an essential resource.** presents a primary advent to using the analytic point method.* deals a step by step method of groundwater circulation modeling.* comprises a tutorial model of the GFLOW modeling software program.
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This is how it works. 15. The distances from well # 1 and well # 2 to a point P in the flow domain are rl and r2, respectively. 95) 52 CHAPTER 3. DUPUIT-FORCHHEIMER FLOW P . . . . . . . . . . . . . ....................... . . . . . 9 I Q1 Q2 reference point , , xO ~ . 15: Locations of two nearby wells in an aquifer. 96) Tile integration constants C1 and C2 are not yet defined at this point.
10. 7 Flow Net Streamlines and equipotentials are often combined into a flow net in such a way that the total flow AQ between successive streamlines is always the same and equal to the difference in potential between two successive equipotentials. This is accomplished as follows. 10 as the s- and n-directions, respectively. The two negative gradients may then be written as - 0~(I) = dO ds -0~ .... 81) 46 C H A P T E R 3. ~ ~ 1 7 6 1 7 6~ ~ o~176 ........... " ...... "~176 ~1 ~ 1 7 6 1 7 6 1 7 6 1~7167167167 6 ................
75) Functions which satisfy the equation of Laplace are called harmonic functions. The functions (I) and 9 are related by the C a u c h y - R i e m a n n equations and are called conjugate harmonic functions. Hence, 9 is a conjugate harmonic function of (I), and vice versa. 5 A stream function exists if, and only if, the potential function is harmonic ~ that is, it satisfies the equation of Laplace. 72) that the discharge vector can be calculated from either the derivatives of (I) or the derivatives of ~.