Reservoir Planning

Size the reservoir storage from the mass curve of cumulative inflow versus cumulative demand, add dead storage for sediment accumulation, and fix the full-supply and drawdown levels for the intended purposes.

Key formulas & points

Skim these first — then read the full notes below.

  • Dead storage for sediment; live storage for regulation
  • Fixation of FSL and MDDL for flood moderation
  • Multi-purpose: irrigation, power, flood control, navigation

Topic details

Introduction

Reservoir planning determines the storage needed to regulate a variable river flow to meet a demand, and allocates the storage among dead, live and flood zones. The mass-curve (Rippl) method is the classic tool for finding the required live storage.

Scope in B.Tech and GATE syllabus

The reservoir is zoned: dead storage below the lowest outlet holds accumulated sediment over the reservoir life, live (conservation) storage between the dead-storage level and the full-supply level meets the demand, and flood storage above provides moderation of flood peaks.

Why this topic matters in practice

Multi-purpose reservoirs balance competing uses — irrigation, hydropower, water supply, flood control and navigation — each with different level requirements, so operating rules and level fixation (FSL, MDDL) reconcile the demands over the year.

Key relations & formulas

Formulas (Indian textbook notation)

  • Storagecapacityfrommasscurve(ripogram)ofinflowvsdemandStorage capacity from mass curve (ripogram) of inflow vs demand

Formulas (Indian textbook notation)

  • Reliability=yearssupplymettotalyears×100Reliability = years supply \frac{met}{total} years \times 100%

Formulas (Indian textbook notation)

  • Sedimentrate:annualtrapefficiencyreduceslivestorageSediment rate: annual trap efficiency reduces live storage

Notation and sign conventions

Relation 1 —
StoragecapacityfrommasscurveStorage capacity from mass curve

Formulas (Indian textbook notation)

  • Storagecapacityfrommasscurve(ripogram)ofinflowvsdemandStorage capacity from mass curve (ripogram) of inflow vs demand
Write this relation with symbols exactly as in Irrigation & Water Power Engineering — BC Punmia before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
Reliability=yearssupplymettotalyears×100Reliability = years supply \frac{met}{total} years \times 100%

Formulas (Indian textbook notation)

  • Reliability=yearssupplymettotalyears×100Reliability = years supply \frac{met}{total} years \times 100%
Write this relation with symbols exactly as in Irrigation & Water Power Engineering — BC Punmia before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
Sedimentrate:annualtrapefficiencyreduceslivestorageSediment rate: annual trap efficiency reduces live storage

Formulas (Indian textbook notation)

  • Sedimentrate:annualtrapefficiencyreduceslivestorageSediment rate: annual trap efficiency reduces live storage
Write this relation with symbols exactly as in Irrigation & Water Power Engineering — BC Punmia before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Fundamentals and definitions

The mass curve plots cumulative inflow against time; the demand is a line (or curve) of cumulative draft. The maximum vertical gap between the demand line drawn tangent to the mass-curve peaks and the following trough gives the required storage to meet that demand through the dry period — the essence of the Rippl method.

Governing relations in practice

Dead storage is provided for the sediment expected to deposit over the design life; the trap efficiency (fraction of incoming sediment retained) and the sediment inflow rate determine how much storage is lost each year, so a reservoir’s useful life ends when sediment fills the live storage.

Design and analysis considerations

Reliability expresses the percentage of the period during which the demand is fully met; a reservoir sized for 100% reliability would be uneconomically large, so a design reliability (e.g. 75% for irrigation) is accepted.

Advanced theory and extensions

Level fixation defines operation: the full-supply level (FSL) is the normal maximum conservation level, the minimum drawdown level (MDDL) is the lowest level for the intended use (e.g. minimum head for power), and the maximum water level accounts for flood routing above FSL.

Assumptions and validity limits

State assumptions explicitly before using any relation for reservoir planning — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Water Resources viva and GATE descriptive questions, listing valid assumptions often earns separate marks.

Step-by-step problem approach

1. Read the question and list given data with SI units (common in Water Resources papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to reservoir planning.
4. Use equation 1:
StoragecapacityfrommasscurveStorage capacity from mass curve
.
5. Use equation 2:
Reliability=yearssupplymettotalyears×100Reliability = years supply \frac{met}{total} years \times 100%
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.

Applications & exam relevance

Reservoir Planning appears in agricultural and municipal water supply. In Indian civil curricula this topic is tested because it connects theory to canals, reservoirs, and irrigation.
GATE and semester exams often combine reservoir planning with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use reservoir planning?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

• Ignoring dead storage for sediment when sizing the reservoir.
• Misreading the maximum departure on the mass curve for required storage.
• Designing for 100% reliability, giving an uneconomic size.
• Confusing FSL (conservation) with the maximum water level during floods.

Quick revision checklist

Before attempting reservoir planning problems, confirm you can:
1. Dead storage for sediment; live storage for regulation
2. Fixation of FSL and MDDL for flood moderation
3. Multi-purpose: irrigation, power, flood control, navigation
Revise the solved examples in Irrigation & Water Power Engineering — BC Punmia and one previous-year GATE or university paper for this unit.

Worked examples

Try the problem first — open the solution when you are ready to check.

Required storage from cumulative deficit

Problem

Over a dry season the cumulative demand exceeds cumulative inflow, and the maximum cumulative deficit (demand minus inflow) computed from the mass-curve analysis is 45 million m³. Determine the required live storage and comment on total capacity.

Solution

The required live (conservation) storage equals the maximum cumulative deficit = 45 million m³. To this must be added the dead storage for sediment (say 15% over the design life ≈ 6.75 million m³) and any flood storage, so the gross reservoir capacity would be on the order of 52 million m³ or more once all zones are included.

Conceptual check — Reservoir Planning

Problem

In a Water Resources semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of reservoir planning." What should a complete answer include?

Exams & GATE

BC Punmia — mass curve analysis for reservoir sizing.

📖 Standard books (India)

  • Irrigation & Water Power EngineeringBC Punmia

    Read: Syllabus unit

    Hydrology, canals, and water resources