Ted's formula

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I would like to publish Ted from Dixie Synthetics formula for oil change intervals. I think this formula has merit and better than mileage or time alone can ever be in managing oil changes.

The reason to publish this formula? We just finished an evaluation of oci's for a document delivery company and this formula worked over a two year period better any other scheme we know of. We did not get to the time part of any formula because these vehicles were doing sometimes 500 to 650 miles a day and the least mileage vehicles were still over 250 miles a day. We had some vehicles with an OLM and we followed them for one group.

A side note on OLM's. They work. I know that they work but if you keep a vehicle the time beyond the warranty period and performance is not known. In other words if you keep your vehicles you might want to consider a more aggressive schedule.

This testing is like the Las Vegas taxi tests, that is they are not completely valid for the average owner/driver. You're shorter runs might be a bit harder on your vehicle if considering odometer reading and just the opposite if considering the calendar.

If synthetic oil was better for protecting against failures then it did and we did not see the failures so the process defeated itself.

Several synthetics were used all did well enough that one could not detect an differences. One synthetic did produce slightly better numbers, Amsoil 10w30 ACD. This oil was also used in some older specialty vehicles that are kept much longer. Vehicles in this category would be utility vans/truck with special bodies and /or special equipment built into the vehicle. An example. An armored truck. These are worth rehabing.

A synthetic blend that stood out was Motorcraft 5w-20 and in all cases now where a 5w-20 is called for the choice is Motorcraft, not a full synthetic. If the vehicle is a specialty vehicle that calls for 5w-20 it will be switched to ACD after the warranty period. If a 5w30 is called for then it's ACD. No extended warranties are used. With the maintenance facilities available it has been determined that extended warranties are not a good investment.


Formula-------------------------------------------

OCI(miles) = (C*)(aver.mpg)(sump-qts)(cubic inches/Hp**)

Where C* is an empirically derived constant, that depends on both the quality of the basestock and the robustness of the add pack.

** For turbo diesels, substitute ft-lbs of torque for Hp, as this is a better measure of turbodiesel output. If you were to use Hp, you'd over predict a reasonable drain interval.

As for the C* values, most of the work I've done has been with Amsoil, where I back fitted a series of oil analysis results and varied the C* until I was getting reasonable OCI's for engines of varying size and output. However as a first cut, I'd say a C* of 50 for a petroleum oil and a C* of 80 for an average quality, off the shelf synlube should be about right. The top tier, PAO/Ester synthetics (Amsoil,GC,Redline) are assigned a C* of 125. The Series 2000/3000 oils probably rate a C* of 150, i.e. they do last a bit longer than the regular Amsoil 5w30 or 10w30.

As a final note, the units in the above formula do not cancel to yield miles when you multiply them through. So just ignore that and use the numerical data and forget about the units. I know this bothers some engineers , and I suppose you could assign some funky units to the C* value to get everything to come out right, but I haven't done that.

Ted
Dixie Synthetics
 
Looking at the formula, it seems that MPG is the single largest determining factor (aside from the quality of oil you use; C* value). Why is that?
 
That would be tricky as you can look at passenger car oils with 7.6 TBN that are full synthetics, and 10w30 HDEO that are straight Group II mineral oils with a TBN of 12.

It would take some technical analysis probably involving TBN, shear characteristics, oxidation characteristics and how well it stays in grade. Maybe a factor of HTHS, and TBN with a value assigned to the type of base oil in it. TBN of 9 times HTHS of 3 gives 27, times a factor of 2 for a conventional oil would give 54.
 
If you turn your car on with a full tank of gas and let it sit idling until it has run out of fuel, the engine has run for many hours but it has travelled 0 miles.

You take your car out for a drive on the highway, and that same 12 gallon tank of fuel takes you 360 miles at 30 miles to the gallon.

Then, the next 12 gallon tank of fuel, you tow a trailer, and your fuel mileage goes down to 24 miles per gallon. You only went 288 miles, but it took the same amount of fuel as just idling the car or driving in a steady cruise.

Fuel usage takes into account the amount of run time and loading on an engine. An engine that starts up once in the morning, turns 1800 rpm on the highway all day, and gets parked at night will have a much different OCI than a truck that gets started cold in the morning, tows a 10,000 pound trailer to a job site, and then idles there all day to run an air compressor.

Fuel consumption and engine temperature are factors that OLMs take into account because simple mileage is too broad of measure to take into account usage factors. I am sure that there are some vehicles I would change the oil less than 3000 miles depending on the usage.
 
Makes sense. I was on a different track thinking the efficiency of an engine may have something to do with OCIs; didn't think about idling and towing.
 
This feeds me out a number of about 5400 miles for my OCI on dino. Right now I am running 5000 km, so 3200 miles. I have Mobil 1 in right now, and it says I am good to 8640 miles...which I am not really comfortable with even with a fairly good filter and fairly stable driving conditions.

The numbers do make sense, however, I put in the numbers for my dad's work truck and it gave me a reasonable OCI for that usage (lots of idle time) so I am pretty sure these numbers are good.
 
It feeds me some pretty decent numbers as well. 7,000 mile OCIs for the V6 SUVs and 10,000 mile OCIs for the four-bangers.

Now if I switch to a synthetic HDEO like Petro-Canada Duron, what kind of C* is that? Is that on the same level as a "top-tier," or somewhere in between 80 and 125? I understand that an accurate C* value requires testing of the oil and that those numbers posted above are just estimates.
 
No formula is perfect for all. A formula for oci's must not only try to represent to wear and tear on the oil but it must be easy to calculate an answer. Too simple, miles only, may not be good enough if you want to make best use of your oil dollars. This formula that Ted came up with has not been battle tested and although not perfect works well. It makes a lot more sense than mileage alone or time alone and unlike a black box solution like the OLM's you can work with it and under stand a bit about what is going on. You can make better use of a series of uoa because you now have something to do with the feed back received from the lab that can be combines with your real world experience and observations. After all this time on BITOG I think that Ted's formula is the best answer I've seen if you can walk, chew gum and take a shot at understanding a uoa all at the same time.
 
According to this formula, mine should be:
Dino OCI = (50)(30.26)(4)(110/142) = 4,688 miles
Group III Syn OCI = (80)(30.26)(4)(110/142) = 7,501 miles
Group IV/Ester OCI = (125)(30.26)(4)(110/142) = 11,720 miles
OCI(miles) = (C*)(aver.mpg)(sump-qts)(cubic inches/Hp**)

Interesting that the Dino OCI is so low, because I had mine analyzed at 4,300 miles before and it still had 3.5 TBN and probably could've gone much longer. Still cool though.
 
I made a modification to Ted's formula that includes the TBN.

The modification is:

OCI(miles) = (C*)(aver.mpg)(sump-qts)(cubic inches/Hp**)(SQRT[ (TBN/15-7) + (1/TBN) ] )

I am adding a multipler of taking the square root of: [TBN of oil in sump/(Highest TBN available - Lowest TBN available)] + [(1/TBN)]

My 3.5 liter [213cu in], 6qt sump, 269hp Rav4 using Hav SM w/ a TBN of 7.6 getting 20 mpg calculates an OCI of 4941mi. That's close to the manuf. service interval given the low mpg due to a short commute. I'll work on it further.

Try it out.
 
Last edited:
If you go to the archives this formula used to be posted here several years ago fairly frequently.
 
So for my '03 Buick PA w/ 3.8L engine:

Dino OCI = 50 * 21.5 * 4.5 * (231/205) =

50 * 21.5 * 4.5 * 1.127 = 5450 miles. In my case that would just be 6 months -- which is what I was planning anyway.

The OLM seems to decrease at about 12.5% a month with my current driving, so if I go with that, the oil would still have about 25% life left on it after 6 months.
 
I just wanted to re-expose Ted's formula and say that in tests it proved to work well. The best part is that it can be adjusted until you get it right for your situation and then just keep to it. OLM's are great but boring. Traditional mileage only methods may be good for warranty one-size-fits-all situations where the public has to be protected from themselves but this formula gives one something to work at.

I just wish Ted and others would come back. This board has lost several interesting members that have diminished this board by their absence. No flames, please.
 
The addition of a TBN factor is interesting but takes the formula out of the hands of an end user that does not spend money on a TBN test.

I'm thinking that I will go back to all our data and see if an ambient temperature factor is warranted. The factor might start at 72F with a very slight curve up to 120F but a steeper curve going to -50F. In other words high temps are not much of a worry in a modern engine even 120F but below 32F starts a pattern of wear that gets steeper below zero and gets bad as you approach -40F.

Fuel mileage does cover this but and is the whole point of the formula, that is fuel mileage is a good indicator of wear.

I received a C program for a member, ConfederateTyrant and made some suggestions to modify his interface. I hope he is around and will make the changes and publish his program for us to use.

One comment I did not make in the PM but would like to make now is a button that would display a modal form that shows the text of the formula for those that are curious. That's the whole point of the formula, to give someone something to experiment with.
 
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