Deterministic Methods in Systems Hydrology - Chapter 8 pps

... (1 983 , 1 984 and 1 986 ) at the Institute of Geophysics in Warsaw. - 156 - Apparent unit hydrograph Linearisation of the equations for open channel flow 8. 3 LINEARISATION OF NON-LINEAR SYSTEMS ... 8. 2 can be expressed in the form of equation (8. 89). In the case of the Horton-Izzard solution, this is to be expected, since in this case we are dealing with a s...

Ngày tải lên: 10/08/2014, 01:21

... third-order catchment. This result was later generalised to second-order, fourth- order and fifth- and sixth-order catchments by Shamseldin and Nash (19 98) . - 100 - Storage Lateral inflow involves ... complicated methods of black-box analysis in finding the true unit hydrograph in the presence of error at a level of 10%. The conceptual models maintain their robust perf...

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... MODELS 163 8. 1 Non-linearity in hydrology 163 8. 2 The problem of overland flow 169 8. 3 Linearisation of non-linear systems 1 78 8. 4 Non-ling black-box analysis 188 8. 5 Concept ... overland flow. 170 8. 8 Overland flow 1 78 8. 9 Linear flood routing. 184 8. 1 Effect of reference discharge. 184 8. 11 Attenuation and phase shift in LCR. 1...

Ngày tải lên: 10/08/2014, 01:21

... II again invokes time-invariance by comparing two storms and invokes linearity in assuming proportionality of the runoff ordinates. Proposition III is an alternative statement of the principle ... Conceptual models Continuum mechanics Linear time-invariant X X Linear time-variant X X Non-linear tim e-variant If the recharge to the groundwater sub-system is known, then there is no re...

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... outside the interval of integration and consist of an infinite series in which each term refers to a definite discrete frequency. If the interval of integration is increased indefinitely, the ... on an interval from minus infinity to plus infinity with respect to a weighting function exp(-t 2 ). Thus the Laguerre polynomials have the property - 40 - Unit matrix Matrix CHA...

Ngày tải lên: 10/08/2014, 01:21

... "filtering" either the input-output data (i.e. pre-filtering), or the estimated unit hydrograph (i.e. post-filtering). A - 58 - Pulse response CHAPTER 4 Black-Box Analysis of Direct Storm ... time domain or by cut-off filter in the frequency domain (filter type S); (2) maintaining non-negativity of the ordinates of the unit hydrograph by setting all negative or...

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... a single linear reservoir. - 89 - Lateral inflows Uniform lateral inflow routing of the remainder of the inflow through the remaining (n-1) reservoirs. This is equivalent to the inflow ... n-reservoirs - which produce identical outputs for all possible upstream inflows. The result is true for all linear time-invariant systems, which consist of subsystems in series wi...

Ngày tải lên: 10/08/2014, 01:21

... - 123 - Pre - ponding infiltration Infiltration capacity can be transformed from an equation in c(z, t) to an equation in a single transformed variable c(z 2 /t). To obtain a solution in ... soil-controlled, and for pre-ponding infiltration (Table 7.3) which is atmosphere-controlled (Kiihnel et al., 1990a, b). It can be demonstrated in all cases of initial pre-pond...

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... beginning of the simulation. The first points are thus always calculated by a single-interval method. Chapter 8 Simulation and Implementation of Continuous Time Loops 8. 1. Introduction This chapter ... defini- tion. D EFINITION 8. 6. We call an order of an integration algorithm the integer p appearing in the global error. Therefore, we tried building the highest order algorithms, in...

Ngày tải lên: 09/08/2014, 06:23