#### Effects of Soil Resistivity on Ground Electrode Resistance

and Factors Affecting Soil Resistivity

## By John Olobri

Soil resistivity measurements have a threefold purpose. First, data is used to make subsurface geophysical surveys as an aid in identifying ore locations, depth to bedrock and other geological phenomena. Second, resistivity has a direct impact on the degree of corrosion in underground pipelines. A decrease in resistivity relates to an increase in corrosion activity and therefore dictates the protective treatment to be used. Third, soil resistivity directly affects the design of a grounding system, and it is to that task that this discussion is directed.

When designing an extensive grounding system, it is advisable to locate the area of lowest soil resistivity in order to achieve the most economical grounding installation. To accomplish this task, you need a ground resistance test instrument capable of testing using four electrodes (commonly referred to as a four-point or four-pole tester). You also need four auxiliary electrodes and four spools of wire.

The Wenner method of testing is the more popular and easier to use for testing soil resistivity for a grounding electrode system. The results are represented by the Greek letter Rho (ρ) and are expressed in ohm-meters or ohm-centimeters representing the resistance of a cubic meter of soil. The simplified formula is:

ρ = 2πAR

Where:

ρ = ohm-cm

π is a constant = to 3.1414

A = the spacing of the electrodes (in centimeters will save time in obtaining the results without having to do a conversion)

R = the resistance value of the test in ohms.

Before we get in to the actual test, first let’s look at soil composition. Soils made up of ashes, shale or loam tend to have the lowest soil resistivity. Soils made up of gravel, sand or stone have the highest soil resistivity.

Moisture content, temperature and salts also affect soil resistivity. Soil that contains 10 percent moisture by weight will have as much as five times lower soil resistivity than that which contains 2.5 percent. Soil at room temperature will be as much as four times lower in resistivity than that at 32 degrees. So the time of year when you conduct the test can play a major role in the results.

Finally salt content factors into the results in a big way. Just changing the composition by 1 percent can reduce soil resistivity by as much as a factor of 20. Therefore, a quick visual analysis of the job site can give you a good idea as to whether you can expect low resistance from the installed grounding electrode system made up of a single ground rod or if you will need to install several rods to achieve the needed results. These conditions should be written down and kept with the test results. Temperature, moisture and soil type are easily identified. Salt content may be more difficult to determine.

Now we are ready to take some measurements. As most commercially available ground rods are 8 to 10 feet long, it makes sense to check the expected soil resistivity at a depth of 10 feet. Checking it at 20 feet is also a good idea for comparison.

Using the Wenner method you need to space the four electrodes out an equal distance from each other in a straight line and with spacing equal to the depth to be tested (see Fig. 1). If we are testing at a 10-foot depth then the four electrodes need to be spaced in a straight line 10 feet apart. If we are testing at a 20-foot depth then the electrodes need to be spaced 20 feet apart and so on.

To get a good indication of soil resistivity of the grounding electrode site we should take five measurements and average them for the final answer. We should take them in a square pattern and then one on an inside diagonal of the square (see Fig. 2).

Now, to use the simplified formula described earlier we need to observe one rule, which is that the depth of the test electrodes should be no more than 1/20th the spacing of the rods. For testing at a 10-foot depth the electrodes should be placed no more than 6 inches in the ground. No need to drive deeper for longer spacing.

With rods spaced 10 feet apart and only six inches in the ground, the instrument is ready to be connected to the rods (see Fig. 3). Connect the terminals of the instrument in sequence to the rod using the spools of wire provided. Once the connections are made, you can run the test. Turn the instrument on, place the selector switch in the soil resistivity test position and press the test button. Observe and write down the resistance reading measured. Do the same for each of the 5 measurements. For our test example let’s assume that our average for the 5 measurements was 3.4 ohms. Now apply the formula:

ρ = 2πAR = 2(3.1414)(305 cm)(3.4) = 6,515 ohm-cm

Notice we converted 10 feet to 305 centimeters to simplify our math: (10 x 30.5) = 305

Let’s look at the process of calculating the depth needed for a new ground rod installation. For this we will use a calculating tool called a nomograph (see Fig. 4). The grounding nomograph was developed in 1936 by H. B. Dwight. It’s a mathematical tool consisting of several nonlinear scales on which known values can be plotted and the desired unknown value can be derived by simply connecting the points with a straightedge and finding the resultant by reading the intersecting point on the desired scale. In the case of grounding resistance, we will be dealing with known values for soil resistivity, rod diameter and desired system ground resistance. The unknown to solve for is the depth needed to achieve the desired resistance. .

To begin, we need to make a few decisions. First, what is the desired grounding electrode resistance needed? Second what is the diameter of the ground rods we will be using? With these two answers plus the measured soil resistivity we can use the nomograph to calculate the depth required to achieve our objective. Let’s say we need a resistance from this grounding system to be no more than 10 ohms and that we chose ground rods that have a 5/8 inch diameter.

Looking at our nomograph, we have five scales to work with: the R scale represents the desired resistance needed for our work (10 ohms). The P scale represents soil resistivity. Our average value is 6,515 ohm-centimeters obtained using a 4-pole ground resistance tester employing the Wenner test method. The D scale represents depth and is what we will use to find our answer. The K scale contains constants that will assist us in finding the depth. Lastly the DIA represents the diameter of the rods used. We will complete several simple steps to get our depth answer.

Using the nomograph we first put a dot at 10 ohms on the R scale as it is our desired resistance.

Next, we put a dot at 6,515 on the P scale representing our soil resistivity measurement. We will have to do our best to approximate the location of this point between the 5,000 and 10,000 hash marks.

Next, we take a straightedge and draw a line between the dots we placed on the R and P scales and let the line intersect with the K scale and place a dot on the intersecting point.

Now we again take a straightedge and draw a line from the 5/8 hash mark on the DIA scale representing our rod diameter through the dot on the K scale and continue through to intersect with the D scale and place a dot on the D scale at this intersecting point.

The value at this point is the depth needed to drive a 5/8 inch diameter rod to achieve 10 ohms of grounding electrode resistance given the soil resistivity measured. Looking at the completed nomograph (see Fig. 5), we see that a single rod would need to be driven 30 feet deep to meet our 10 ohm objective. In many cases this is not practical to drive deep rods.

The alternative is to drive two or more rods to get the desired results.

There are a few important points to consider when driving multiple rods. First, driving additional rods will not achieve linear results. For example, three 10-foot rods will not yield the same results as a 30-foot rod. We need to apply an adjusting factor. Secondly, to achieve the best effect of additional rods they should be spaced apart at least equal to the depth and preferably at twice the depth. For example, multiple 10-foot rods should be spaced 20 feet apart to avoid being in the sphere of influence of each other (see Fig. 6).

The adjustment factor required for multiple rods is shown in Figure 7. If we were to use three 10-foot rods in parallel instead of one 30-foot rod, we would expect each rod to contribute 1.29 times the theoretical value. Stating it another way, if we divide the 10 ohms needed by 3 to find the expected value of each rod, we get 3.33 ohms. Applying the adjustment factor from the table for 3 rods in parallel we get 3.3 x 1.29 or 4.25 ohms contributed by each rod for a total of 12.75 ohms. In this case we would need to drive a fourth rod to get below our desired 10 ohms.

Sometimes the final results cannot be obtained by adding additional rods. There simply may not be enough real estate to accomplish it or the area is too rocky, etc. In these cases, soil enhancement techniques can be employed or chemical rods can be used. There are several companies that specialize in solving these types of problems that can be consulted.

Taking soil resistivity measurements prior to installing a grounding electrode system can save a lot of time and effort in planning the system properly. Using a few simple tools and procedures can give you quality results with less than one hour’s effort. Bear in mind that these results are based on homogeneous conditions that won’t necessarily exist at the site.

Further simplifying the task today is the fact that newer testers now have the ability to calculate soil resistivity internally computing Rho, saving further time and effort. UP

**The Author:** John Olobri is director of sales and marketing for AEMC® Instruments where he has been actively involved in the areas of insulation resistance, ground resistance testing, power quality testing, data logging and environmental testing for the past 20 years. He holds degrees in both electrical and industrial engineering and has worked in the design and marketing of instrumentation for over 35 years. He also conducts accredited seminars on ground resistance testing in various cities around the country. Learn more at