GOLDA MEIR, the former prime minister of Israel, used to tell a joke about how Moses must have made a wrong turn in the desert: “He dragged us 40 years through the desert to bring us to the one place in the Middle East where there was no oil.’ ”

As it turns out, Moses may have had it right all along. In the last couple of years, vast amounts of natural gas have been found deep under Israel’s Mediterranean waters, and studies have begun to test the feasibility of extracting synthetic oil from a large kerogen-rich rock field southwest of Jerusalem.

Israel’s swing of fate is just one of many big energy surprises developing as a new generation of unconventional fossil fuels take hold. From the high Arctic waters north of Norway to a shale field in Argentine Patagonia, from the oil sands of western Canada to deepwater oil prospects off the shores of Angola, giant new oil and gas fields are being mined, steamed and drilled with new technologies. Some of the reserves have been known to exist for decades but were inaccessible either economically or technologically.

Put together, these fuels should bring hundreds of billions of barrels of recoverable reserves to market in coming decades and shift geopolitical and economic calculations around the world. The new drilling boom is expected to diversify global sources away from the Middle East, just as the growth in consumption of fuels shifts from the United States and Europe to China, India and the rest of the developing world.