### Mod-01 Lec-01 Lecture-01

Why do we need donations? 1. We need money to keep our servers running, we do not place ads 2. We are soon to launch free mobile apps for Android and iOs. 3. We are in process to be converted into 1st free educational social-network. |

### Lectures

### Lecture Details :

Advanced Hydrology by Dr. Ashu Jain, Department of Civil Engineering,IIT Kanpur.For more details on NPTEL visit http://nptel.iitm.ac.in

### Course Description :

Contents:

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

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

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.

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.

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.

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.

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.

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.