Assumptions

3. Geophysical explorations, mining and prospecting

During the late 40s and 50s of the last century, the cold war and the development of atomic weapons lead to an uranium minig boom in the southwest of USA. Uranium was suddenly the most critical material the United States had ever known. It fueled atomic weapons. It promised electrical power; gas-free operation of cars, planes, and locomotives; preservation of meat; and even distillation of sea water.
Most important, a domestic supply of uranium was needed to maintain a nuclear edge in the cold war that was developing with Russia. The U.S. uranium mining industry is relatively young. It went through a brief golden age between about 1955 and 1980, beginning when the United States offered generous incentives to shore up its stockpiles of the nuclear weapons fuel during the Cold War. In the early days, the government offered a 10-year price guarantee for certain kinds of uranium ore. It also paid out a $10,000 discovery and production bonus for each new source of supplies, which pencils out to roughly $95,000 in today's dollars. That set off a gold rush in the nation's vast Western region. Everyone with a jeep and a Geiger counter was out trying to get rich. By the 1960s, the program had packed U.S. storehouses so full of uranium stockpiles that the government stopped paying the incentives. However, it left in place rules barring the use of foreign uranium until 1975, when it began to allow a growing percentage of overseas supplies into the market.
Price declines in the late 1970s and early 1980s forced the closure of numerous mines. Most uranium ore in the United States comes from deposits in sandstone, which tend to be of lower grade than those of Australia and Canada. Because of the lower grade, many uranium deposits in the United States became uneconomic when the price of uranium declined sharply in the late 1970s.

Conclusion

That grazing, prospecting and mining is the origin of all those patterns in the area around and in canyonlands national park is the most reasonable idea. All facts together show, that such large area with all those eroded patterns are man-made by machines. It was allowed even to prospect in national parks. The technical view onto it, understroke that the "signs" are the remains of field measurement setups. Some of them are strange in a first view, but those are cutted always in 12 clock sectors, or 30 degree pieces of a full circle to determine directions, as described above.

References:
[1] Utah's Uranium Boom
[2] Uranium Rush Posters
[3] Map of Mining Claims in Utah
[4] geochemical survey layout
[5] Geological Survey Circular 217 - Uranium deposits in the White Canyon
[6] Burgex Mining Consultants