Sure. You might try this U.S. Army history of the Persian Corridor, as it is officially called. I'm more familiar with the Northwest Staging Route, but I did have this link in my files. Much of the history is devoted to the political and military wrangling rather than the physical work of constructing, maintaining and operating the corridor, but there's enough in there to be helpful:

"The best developed Iranian port was on the island of Abadan, the site of what was then one of the world's largest oil refineries, owned by the Anglo-Iranian Oil Company. But Abadan figured in British plans for supply to the USSR only as a site for delivery of cased aircraft for assembly and of particularly heavy equipment that could not be unloaded elsewhere. The rest of the capacity of the port was reserved for oil shipments. Similarly Basra in Iraq, the only other well-developed port in the area, was already overloaded with cargo for the British Army, although it also had to serve initially as the principal reliance for handling Soviet-aid cargoes. Any really significant augmentation of shipments to the USSR would require development of the Iranian ports proper-Khorramshahr, Bandar Shahpur, Ahwaz, and Bushire-and of the lighterage basin at Tanuma (or Cheybassi) across the Shatt-al-Arab from Basra in Iraq. Khorramshahr and Bandar Shahpur were the key ports, and each initially possessed only one berth capable of handling large vessels. Ahwaz was a small barge port one hundred miles up the Karun River from Khorramshahr; Bushire, a small port on the west shore of the Persian Gulf whence the main highway in Iran ran north to Tehran.

From Bandar Shahpur the railway ran north via Ahwaz and Andimeshk to Tehran and thence through the Soviet Zone to Bandar Shah on the Caspian Sea, through some of the most difficult mountainous terrain in the world. The railway was without adequate high-powered locomotives and rolling stock, the line was laid with light rail, and it lacked an automatic signal system to speed traffic. The British had placed the railway under military control and assigned a force of 4,000 soldiers to run it, but the locomotives and rolling stock promised from the United States were slow in arriving, and the increase in rail capacity came equally slowly.

To supplement the railroad, the British had four trucking routes under development, all operated by a quasi-governmental corporation, the United Kingdom Commercial Corporation, using native drivers. Two routes ran wholly within Iran, from Bushire and Andimeshk, respectively, to Tabriz within the Soviet Zone. A third started at Khanaqin on the Iraqi railway, ran north from Basra through Baghdad, and also terminated at Tabriz. The fourth involved a devious route running by rail out of Karachi, India, to Zahidan in southeastern Iran and thence by truck to Meshed in the Soviet Zone in the northwest. This last route was used but infrequently and the Russians objected that deliveries over it provided supplies too far from the fighting fronts. All the routes were over the poorest sort of dirt roads, and United Kingdom Commercial Corporation operations were seriously handicapped by lack of trucks and efficient drivers."