Center for Irrigation Technology
Irrigation Notes
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California State University, Fresno, California 93740-0018


August 1988

A New Way To View Sprinkler Patterns*

By Kenneth H. Solomon

Denso-grams and the scheduling coefficient offer irrigators a chance to "test drive" their sprinkler system design and solve problems before they are buried.


Denso-grams and the scheduling coefficient are two new tools you can use to obtain a computer preview of how specific sprinkler and spacing combinations will irrigate your turf. Visualizing the coverage makes it easier to select the best equipment for the job.

A denso-gram is a pattern of dots that shows the expected coverage from a particular combination of sprinklers, nozzles, pressure and spacing.

The scheduling coefficient is a number that relates to the uniformity of coverage and how to operate the system to adequately irrigate the en-tire turf area.

TRADITIONAL TECHNIQUES

Traditionally, sprinkler and spacing combinations have been selected on the basis of previous experience or computer analysis of sprinkler test results. Prior experience is probably the most reliable guide to sprinkler and spacing recommendations, but that experience doesn't always exist.

Computer analysis of sprinkler test results was initially developed for agricultural irrigation. During the tests, the computer measures water application rates at various distances from the sprinkler. It then overlaps the spray patterns of individual sprinklers at the chosen spacing to simulate the irrigation pattern.

COEFFICIENT OF UNIFORMITY

The coefficient of uniformity (CU) is determined from the statistical analysis of the irrigation pattern. The higher the CU, the more uniform the water application. The ideal CU is 100 percent, but that is unattainable - even rainfall isn't 100 percent uniform.

The CU is a widely-recognized pattern evaluation tool, but some turfgrass irrigators criticize it because it treats over-watered and under-watered areas the same. Turfgrass irrigators generally are more interested in combating dry spots than wet spots.

At the Center for Irrigation Technology, we compute the CU on all of our computer-developed sprinkler patterns, but we also use denso-grams and the scheduling coefficient to better evaluate sprinkler and spacing combinations. Most people readily understand the denso-gram's display of irrigation patterns. In contrast, only those who are very familiar with irrigation uniformity analysis have a good comprehension of the significance of CU numbers.



USING DENSO-GRAMS

Denso-grams clearly show good and poor irrigation coverage. Both denso-grams shown here are based on the same sprinkler head, but the sprinkler spacing differs. The denso-gram above clearly indicates too much space between sprinklers, which can lead to poor coverage. The denso-gram below shows the coverage when the spacing problem is solved.


EXAMINING DENSO-GRAMS

The denso-gram visually displays the irrigation wetting pattern between the sprinklers. The sidebar "Using Denso-Grams" shows how denso-grams illustrate irrigation problems. The denso-gram uses dot-matrix shading to clearly show the wet and dry areas in the pattern. The darkest portions receive the most water and the lightest spots receive little or no water.

Both the denso-gram and scheduling coefficient concepts are intended for use with computer-generated irrigation patterns based on tests of single sprinklers (although they could be used with pattern evaluation data gathered in the field).

THE SCHEDULING COEFFICIENT

Unlike CU, the scheduling coefficient does not measure average uniformity. Instead, it is a direct indication of the dryness of the driest turf areas (critical areas). The number is called the scheduling coefficient because it plays a direct role in establishing irrigation times.

The scheduling coefficient is a numerical indicator of irrigation uniformity that was developed with turfgrass irrigation in mind. It is based on the critical turf area because in turfgrass irrigation it is common to irrigate any critical area until it's sufficiently watered.

To calculate the scheduling coefficient, first find the critical area in the water application pattern. This is the area receiving the least amount of water. The amount of water applied to this critical area is divided into the average amount of water applied throughout the irrigated area. The answer is the scheduling coefficient. Scheduling coefficients will be numbers greater than 1, like 1.5, 2.2 and so on. If perfect uniformity were attainable, the scheduling coefficient would be 1.0.

The scheduling coefficient indicates the amount of extra watering needed to adequately irrigate the critical area. For example, suppose your irrigation system's average watering rate would satisfy your turf with a 30-minute irrigation cycle. If the irrigation pattern were perfectly uniform, a 30-minute watering time would give all the turf the necessary amount of water. However, the irrigation system is not perfectly uniform.

Suppose the irrigation pattern has a scheduling coefficient of 1.8. After 30 minutes of irrigation, a critical area of turf would still be under-watered due to non-uniformity. It will take 54 minutes (30 minutes x 1.8) to apply an adequate amount of water to the critical area. Those extra 24 minutes of watering time would adequately water the dry spot but over-water the rest of the area.

Ideally you discovered this problem before you installed your sprinkler system. If so, you can solve the problem by reevaluating your component choices -sprinklers, nozzles, nozzle pressure and sprinkler spacing.

HOW TO GET A TEST

The staff at The Center for Irrigation Technology will run denso-grams on your sprinkler system for a nominal fee. For further information, con-tact: The Center for Irrigation Technology, California State University, Fresno, CA 93740-0018, (209) 278-2066.


THE SCHEDULING COEFFICIENT

The scheduling coefficient indicates the amount of extra watering time needed to adequately irrigate the driest areas. The dark area in the top illustration at left shows the amount of over-watering that occurs when you irrigate three times as long to eliminate a dry spot. (That's three times as long compared to what you could do with a perfectly uniform system.) You would need to do this if your system's scheduling coefficient was 3.

But with a more appropriate combination of sprinkler model, nozzle size, pressure, and sprinkler spacing, you can reduce the scheduling coefficient to 1.5 (lower illustration at bottom), in which case you would need to water just 1.5 times as long.