New PDF release: Analytical Solutions of Geohydrological Problems

By G.A. Bruggeman

ISBN-10: 0444818294

ISBN-13: 9780444818294

This booklet has been divided into components, A and B. half A contains analytical strategies of approximately 1100 geohydrological difficulties within the saturated area. class of the issues in line with sure characteristics.Part B involves 3 chapters, describing the fundamental rules for saturated flooring water movement, analytical resolution tools and mathematical capabilities respectively.

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Extra resources for Analytical Solutions of Geohydrological Problems

Example text

Fo ~ p ( t - to) erf 24q_~ dto. 22 but p ( t ) - p - const. 21 but p (x, t) - p (x) an arbitrary f u n c t i o n o f x. 21 but (x) i~llIll~ p(x , b t)-- / p [0 for0 b. " 66 One-dimensionalgroundwater flow (123c, d) pt [ 1 - 4 i 2 e r f c ( ~ -fix ~ ) + 2 i2erfc{ fl(b2 ~+ x) } -2i2erfc{ fl(b2~/7 - x ) }] * ~O(X,t) -" for 0 < x < b , pt [ fix (x + b) ~ -4i2erfc(~-~)-t-2i2erfc{fl~ } +2 i2erfc[ f l (2~/7 /-b)}] for x > b. d. 31 (L) Drawdown of the surface water level an arbitrary function of the time.

D. Leaky aquifers with variable head at x - - 0 . e. Leaky aquifers with given initial head and zero head at x - 0. f. Leaky aquifers with vertical infiltration and zero head at x -- 0. 62 (123a) One-dimensional groundwater flow a. 01 (L) The surface water level rises according to an arbitrary function of time. q)(x, t) --- head. i q)(x, 0) = 0 , KD,S X qg(c~, t) = 0 , 99(0, t) = F(t) ~o(x,t)=~ 2L( with F(0) = 0. f12X2 4~ 2 ) e -x2 d).. 02 (L) F(t) i Sudden rise of the surface water level which is kept constant thereafter, qg(x, t) = head.

19. X • f+oo 99(x)- 2KD oo q (x0) exp ( - Ix - xol] dxo. X / 114. 01 (L) Non-steady flow through an aquifer, caused by draining a lake by means of lowering the water level according to an arbitrary function of time h(t). Drawdown 99 = 99(x, t). 099 KD, S t) - Ox x h(O) -- O, 399 Ox t) - 99(0, t) 99(x, t) - rl fot h(t - r)e-Or { 1 - ~1 e r f c ( 2 ~ r ) } dr, r/- o, 1 -- ~99(oo, t). 02 (L) "Sudden" lowering of the water level. 01 but with h(t) - h - constant. 02. 99(x) -- / h h ~ h m 2 x OX o _x x for x >~ O, for x ~< O.

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Analytical Solutions of Geohydrological Problems by G.A. Bruggeman

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