2200 km (ish) from Bengahzi to Haifa (where the refineries and decent shipping terminals are)
very very roughly assuming 90 percent on road or good tank country
1200 gallons of fuel per panzer 3 that makes the trip
1 starter full tank and 13 refills
And with 10 gallons lost for every 1 gallon to get used by tanks. So that's 1 starter full tank and 13 refills which equates to 130 refills assuming a refill load is about the size of a lorry load.
Road or good tank country. The Arabian desert. Right. OK. Let's toss that into the mix. Not so much there. We're talking lots of sand and sod all roads. Treble consumption for this - 1 starter load and 390 refills.
Let's assume an infinite supply of trucks (you'll need that operating over that terrain, given how many will break down).
Let's assume 5 ton trucks, and barrels that have zero weight. 1 gallon of fuel is, very roughly, 10 lbs; our truck can therefore carry roughly 1000 gallons. Of that, 900 will be consumed getting from depot to tank. 100 gallons delivered means 12 trucks needed for every tank for every refill. Lets assume 200 tanks. That's 2400 trucks per refill. Let's assume 50% of the trucks get knackered each trip (a generous estimate). That's 1200 trucks lost each trip. 13 trips means 15,600 trucks required to deliver fuel to get 200 tanks to Haifa. That 5% of total truck production for Germany for the entire war.
Just for fuel.
I have heard it said that it gets quite hot in the Arabian desert, and soldiers might need to drink. Assume a similar number of trucks to deliver water to thirsty soldiers in tanks and (mostly) driving trucks.
That's around 30K trucks in total.
You've just used up about 10% of Germany's entire truck production for the whole of the war, and that's assuming none have been lost to enemy action.
Let's also assume a speed of advance of 200 km a day. Let's assume no British soldiers in the way. That gives the British 11 days to completely wreck the oil producing facilities while the Germans get there. That will require the facilities to be repaired. That will require repair equipment to be delivered. Across that self-same desert. Very roughly, another 30K trucks burned out getting the kit and people to repair the facilities so that oil can be got out of the ground.
We're now up to 20% of total German truck production broken down across the Arabian desert.
This plan doesn't
need an enemy for it to fail.