Yes you will see the DPF screen decrease, but that doesn't mean it was 3 difference passive regen events. Passive regen is anytime the EGT is hot enough in the DPF to start cleaning it. I see that occur at around 600°F. The lower the temp the less effective passive regen is, so at 650°F it might take 30 miles to clean what could clean in 10 miles at 850°F (generalizations). If you really want to know when passive regens are occuring, or what effect your driving style is having on exhaust temp then get a monitor like the CTS3. EGT3 is the DPF outlet temp, so watch that.
While you could correlate DEF consumption to increased power output, and thus higher EGT's there is no direct correlation on DEF consumption to passive regen, mainly because DEF deals with NOx and the DPF deals with soot. I've seen effective passive regen at 700 mpg DEF and at 350 mpg DEF, just no good correlation there.
I can see passive regen on short trips too, even without a load. Like I said, get a CTS3 and see for yourself.
Hours are what matters, not miles; however, If one should occur at 400 miles that means you only average 16.mph and explains a lot about why you appear to have DPF issues.
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It's not overloading the system, it's just moving more air and can run cooler exhaust temps for the same load. That equates to a less effective passive regen, but it's something you should be able to do as many people run TH/EB 100% of the time, with or without a load.
The backpressure is in the exhaust manifold/cylinders and not in the exhaust.
Sure climate and geography can play a role. The DPF takes longer to heat up in very cold temps than it does in warm temps, as does the engine. Both of those mean more soot being made and captured. That being said I've had the truck is some very cold temps this winter (as low as -19°F) and even some short trips in those temps and my regen frequency didn't change. I've noticed that once the DPF is warm it retains it's temp fairly well while cruising and does it's normal thing in the cold.
Cold weather active regen's don't seem to take any longer than warm weather ones, or any more fuel. The only environmental thing I have seen really effect regen duration and fuel is a cold rain. With wet roads and temps in the 30's I have seen regens take a bit more fuel than similar temps and dry roads. The evaporative cooling on the DPF/DOC must be substantial.
My truck is an HO and my gauge works as it should, but it's also almost always on zero. All of my regens are engine run time based at this point, as was the same with my '18 HO (thou there are some differences).
HO's don't have to produce more soot than SO's. While it's not granny smith to granny smith, I had lower soot production on my modified 05 that I did on my stock 05. The modified one had lower compression, more airflow, more fuel, and more power. Just pointing out that the HO doesn't have to be making more soot.