Advanced Hydrology



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;
Atmospheric hydrology; Hydrologic processes, precipitation, evaporation, surface flow, sub-surface flow, and groundwater flow;
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.
04
5
SURFACE WATER:
  • Catchment storage concept, Hortonian and saturation overland flow, streamflow hydrographs, base-flow separation.
  • 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
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