
Irrigation
Notes
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.
{ page top }