This course has been designed to present the principles of advanced hydrology at a postgraduate
level.

At the end of the course, a serious student is expected have a thorough
understanding of the fundamental mechanisms of various components of hydrologic cycle
e.g. atmospheric water, rainfall, infiltration, evaporation, surface flow, sub-surface flow,
groundwater flow, and hydrograph analysis;

And learnt the statistical techniques such as
statistical properties of a PDF, probability distributions employed in hydrology, fitting
probability distributions, testing goodness of fit, frequency analysis, and reliability
analysis.

Contents:

Hydrologic cycle, systems concept, hydrologic model classification;

Reynold's Transport
Theorem, continuity equation, momentum equation, and energy equation;

Unit hydrograph, various response functions and their interrelationships;
Hydrologic statistics, statistical parameters, fitting a probability distribution,
testing goodness of fit, frequency analysis, and reliability analysis.

Sl. No.

Topic

No. of Hours

1

INTRODUCTION:

Hydrologic cycle, water budget equation, world water quantities, residence time, systems concept, transfer function operators,
hydrologic model classification.

03

2

HYDROLOGIC PROCESSES:

Reynold's Transport Theorem, continuity equation, momentum
equation, energy equation, discrete time continuity.

03

3

ATMOSPHERIC HYDROLOGY:

Atmospheric circulation, water vapor, formation of rainfall, types and forms of precipitation, precipitable water, monsoon characteristics in India, rainfall measurement, density and adequacy of rain gauges;

Thunderstorm Cell model, IDF relationships, spatial averaging methods of rainfall;

Factors affecting evaporation, estimation and measurement of evaporation, energy balance method, aerodynamic method, Priestly-Taylor method, and pan evaporation.

08

4

SUB-SURFACE WATER:

Soil moisture, porosity, saturated and unsaturated flow; Richard's
equation, infiltration, Horton's Phillip's, and Green Ampt methods,
parameter estimation, ponding time concepts.

Phi-index,
ERH & DRH, algorithm for abstraction using Green-Ampt equation,
SCS method, overland and channel flow modeling, time area
concepts, and stream networks.

06

6

UNIT HYDROGRAPH:

General hydrologic system model, response functions of a linear
hydrologic systems and their inter-relationships, convolution
equation; definition and limitations of a UH;

UH derivation from
single and complex storms; UH optimization using regression.
matrix, and LP methods;

Synthetic unit hydrograph, S-Curve, IUH.

06

7

HYDROLOGIC STATISTICS:

Probability concepts, random variables, laws of probability, PDFs &
CDFs;

Normal and Binomial distributions; Statistical parameters:
expected value, variance, skewness, and peakedness;

Fitting of a
probability distribution, methods of moments and maximum
likelihood: Testing the goodness of fit, Chi-square test;

Frequency
analysis: return period, probability plotting, Extreme value
distributions, frequency factors, Log-Pearson distribution,
confidence limits.

08

8

GROUNDWATER HYDROLOGY:

Occurrence of groundwater, aquifers & their properties, Darcy's law, permeability, transmissibility, stratification, confined groundwater flow, unconfined groundwater flow under Dupit's
assumptions;

Well hydraulics, steady flow into confined and
unconfined wells; Unsteady flow in a confined aquifer.

07

Undergraduate Hydrology.

Applied Hydrology by Ven T. Chow, David R. Maidment, and Larry W. Mays,McGraw Hill International Editions.

Engineering Hydrology by K. Subramanya, Tata McGraw Hill Publishing Company, New Delhi.

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