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Slug test analysis: hydraulic conductivity K by Hvorslev and Bouwer-Rice from rising or falling head data

Paste or open water level readings from a slug or bail test. Choose the fit window, get the basic time lag T0 and hydraulic conductivity K by Hvorslev, or Bouwer-Rice with your own ln(Re/R), with a filter pack correction, warnings and a semi-log plot.

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  1. Readings
  2. Fit window
  3. Time lag
  4. K value
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Well and readings

Rising-head and falling-head tests both work. Narrow the fit window to skip an early curved part (often the filter pack draining) or a noisy tail. The example data are made up.

Hydraulic conductivity

A slug test only samples the ground close to the screen, so expect K to differ from a pumping test. Results within a factor of about two between methods are normal.

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What it does

A slug test is the quickest way to measure how permeable the ground is around a single well. You change the water level suddenly, by dropping in a solid rod (the slug), pulling it out, or bailing out some water. Then you watch how fast the level returns to where it started. In sand it comes back in seconds. In clay it can take days.

This tool takes those readings and gives the hydraulic conductivity K: how easily water moves through the ground, in m/s or m/day.

How to use it

  1. Choose the length and time units.
  2. Enter the casing radius rc (the pipe where the water level moves), the screen or borehole radius R and the screen length Le.
  3. Paste or open two columns: time since the change, and the reading. The reading can be a displacement from the static level, a depth to water or a water level height. For the last two, also enter the static level.
  4. Look at the plot. On a log scale the readings should fall on a straight line. Use the fit window to leave out an early curved part or a noisy tail.

The methods

Both methods assume the head returns smoothly, so H/H0 falls exponentially: ln(H/H0) = −t/T0. The tool fits that straight line and reads off the basic time lag T0, the time for H/H0 to reach 0.37.

  • Hvorslev for a screen much longer than it is wide (Le/R above 8): K = rc² ln(Le/R) ÷ (2 Le T0).
  • Bouwer-Rice has the same form with ln(Re/R) in place of ln(Le/R), where Re is an effective radius that depends on how the well sits in the aquifer. It comes from charts or equations in the original paper and in textbooks, so enter it from the reference you use.

If the water level falls within the screen, water drains from the filter pack as well as the casing. Enter the pack’s porosity and the tool uses the effective casing radius.

Worked example

All numbers are made up. A 50 mm well (rc = 0.025 m) sits in a 100 mm borehole (R = 0.05 m) with a 1.5 m screen. After a slug is dropped in, the head starts 0.5 m up and falls to 0.007 m after 300 seconds. The fit through the readings between H/H0 0.1 and 0.9 gives T0 = 70.8 s. Hvorslev then gives K = 1.0 × 10⁻⁵ m/s, about 0.86 m/day, which is typical of a fine sand.

Good to know

  • A slug test only samples the ground near the screen and is sensitive to a poorly developed well. Repeat the test, and compare rising and falling head.
  • If the level swings above and below the static level, the ground is very permeable and the response oscillates. These methods do not apply then, and the tool warns you.
  • If the plot curves downwards at first and then becomes straight, the filter pack is often draining. Fit the straight part.

FAQ

Which method should I use? Hvorslev is simpler and needs no chart. Bouwer-Rice accounts for the well’s position in the aquifer. They usually agree within a factor of two.

Does it work for confined aquifers? Yes, as long as the response does not depend much on storage. For very compressible aquifers a type-curve method may be better.

Where the numbers come from

  • Hvorslev (1951) basic time lag method and the Bouwer and Rice (1976) equation: standard hydrogeology methods, written by fibub from the equations.
  • The Bouwer-Rice shape chart (the A, B and C curves) is not reproduced: users enter ln(Re/R) from their own reference.
  • Effective casing radius for a draining filter pack: the usual rc² = (1 − n) rc² + n R² correction.
  • Example data are made up by fibub for illustration.

Standard scientific values, such as constants, atomic weights and melting points, are facts found in every textbook; we name where ours were checked. If you are an author or publisher and want a value, a credit or a table changed or removed, tell us and we will act quickly.

Last updated 2026-11-08.

Change log for Slug test analyser

  1. Add the slug test analyser (#127) Details on GitHub

Every change to fibub

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