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Hydrograph

Hydrograph is a engineering topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Hydrograph rather than just read about it. In short: A hydrograph is a graph showing the rate of flow (discharge) versus time past a specific point in a river, channel, or conduit carrying flow. The rate of flow is typically expressed in units of cubic meters per second (m³/s) or cubic feet per second (cfs).

Hydrograph — main illustration
Hydrograph — illustration

Key takeaways

  • Hydrograph belongs to engineering; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Hydrograph to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Hydrograph from memory before moving on to harder problems.

Reference excerpt

A hydrograph is a graph showing the rate of flow (discharge) versus time past a specific point in a river, channel, or conduit carrying flow. The rate of flow is typically expressed in units of cubic meters per second (m³/s) or cubic feet per second (cfs). Hydrographs often relate changes of precipitation to changes in discharge over time. The term can also refer to a graph showing the volume of water reaching a particular outfall, or location in a sewerage network. Graphs are commonly used in the design of sewerage, more specifically, the design of surface water sewerage systems and combined sewers.

Terminology Other related terms include:

Approach Segment the river flow before the storm (antecedent flow). Rising limb The rising limb of the hydrograph, also known as concentration curve, reflects a prolonged increase in discharge from a catchment area, typically in response to a rainfall event. Peak discharge the highest point on the hydrograph when the rate of discharge is greatest. Recession (or falling) limb The recession limb extends from the peak flow rate onward. The end of stormflow (a.k.a. quickflow or direct runoff) and the return to groundwater-derived flow (base flow) is often taken as the point of inflection of the recession limb. The recession limb represents the withdrawal of water from the storage built up in the basin during the earlier phases of the hydrograph. Lag-1 autocorrelation method to compare streamflow data to itself by shifting or "lagging" initial discharge dataset 1 time unit. A Lag-10 would mean the initial data is shifted 10 days, then is compared to an unshifted version of the data. Not to be confused with lag time. Lag time the time interval from the maximum rainfall to the peak discharge. Time to peak time interval from the start of rainfall to the peak discharge. Time of concentration the time from the end of the precipitation period to the end of the quick–response runoff in the hydrograph.

Types Types of hydrographs include:

Stream discharge hydrographs Stream stage hydrographs Precipitation hydrographs Storm hydrographs Flood hydrographs Annual hydrographs a.k.a. regimes Direct Runoff Hydrograph Effective Runoff Hydrograph Raster Hydrograph Lag-1 Hydrograph Storage opportunities in the drainage network (e.g., lakes, reservoirs, wetlands, channel and bank storage capacity)

Baseflow separation A stream hydrograph is commonly determining the influence of different hydrologic processes on discharge from the subject catchment. Because the timing, magnitude, and duration of groundwater return flow differs so greatly from that of direct runoff, separating and understanding the influence of these distinct processes is key to analyzing and simulating the likely hydrologic effects of various land use, water use, weather, and climate conditions and changes. However, the process of separating “baseflow” from “direct runoff” is an inexact science. In part this is because these two concepts are not, themselves, entirely distinct and unrelated. Return flow from groundwater increases along with overland flow from saturated or impermeable areas during and after a storm event; moreover, a particular water molecule can easily move through both pathways en route to the watershed outlet. Therefore, separation of a purely “baseflow component” in a hydrograph is a somewhat arbitrary exercise. Nevertheless, various graphical and empirical techniques have been developed to perform these hydrograph separations. The separation of base flow from direct runoff can be an important first step in developing rainfall-runoff models for a watershed of interest—for example, in developing and applying unit hydrographs as described below.

Unit hydrograph

… excerpt ends here. Continue reading the full article.

Illustrations

Hydrograph: A stream hydrograph. Increases in stream flow follow rainfall or snowmelt. The gradual decay in flow after the peaks reflects diminishing supply from groundwater.
A stream hydrograph. Increases in stream flow follow rainfall or snowmelt. The gradual decay in flow after the peaks reflects diminishing supply from groundwater.
Hydrograph illustration
Hydrograph: A raster hydrograph. The entire flow record and patterns representing different timescales can be visualized.
A raster hydrograph. The entire flow record and patterns representing different timescales can be visualized.
Hydrograph: Lag-1 hydrograph example (day number associated with Qt).
Lag-1 hydrograph example (day number associated with Qt).

Worked examples

Example 1 — a first encounter with Hydrograph

Start with the simplest possible case. Write down what Hydrograph claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In engineering, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Hydrograph before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Hydrograph ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Hydrograph

In research
Hydrograph appears in engineering research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Hydrograph in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Hydrograph is common in secondary-school and first-year university syllabi. It links to neighbouring topics Hydraulic engineering, Hydrology, so understanding it makes those chapters shorter.
In everyday life
Look for Hydrograph outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Hydrograph in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hydrograph means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Hydrograph out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hydrograph in simple terms?

A hydrograph is a graph showing the rate of flow (discharge) versus time past a specific point in a river, channel, or conduit carrying flow. The rate of flow is typically expressed in units of cubic meters per second (m³/s) or cubic feet per second (cfs).

Why does Hydrograph matter?

Because it connects several engineering ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Hydrograph?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Hydrograph.

Tags

  • Hydraulic engineering
  • Hydrology

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