Yet at today’s oil prices, there is no shortage of companies coveting a contract in Iraq. It is not only one of the few countries where oil reserves are up for grabs, but also one of the few that is viewed within the industry as having considerable potential to rapidly increase production.

David Fyfe, a Middle East analyst at the International Energy Agency, a Paris-based group that monitors oil production for the developed countries, said he believed that Iraq’s output could increase to about 3 million barrels a day from its current 2.5 million, though it would probably take longer than the six months the Oil Ministry estimated.

Mr. Fyfe’s organization estimated that repair work on existing fields could bring Iraq’s output up to roughly four million barrels per day within several years. After new fields are tapped, Iraq is expected to reach a plateau of about six million barrels per day, Mr. Fyfe said, which could suppress current world oil prices.

The contracts, the two oil company officials said, are a continuation of work the companies had been conducting here to assist the Oil Ministry under two-year-old memorandums of understanding. The companies provided free advice and training to the Iraqis. This relationship with the ministry, said company officials and an American diplomat, was a reason the contracts were not opened to competitive bidding.

A total of 46 companies, including the leading oil companies of China, India and Russia, had memorandums of understanding with the Oil Ministry, yet were not awarded contracts.

The no-bid deals are structured as service contracts. The companies will be paid for their work, rather than offered a license to the oil deposits. As such, they do not require the passage of an oil law setting out terms for competitive bidding. The legislation has been stalled by disputes among Shiite, Sunni and Kurdish parties over revenue sharing and other conditions.

The first oil contracts for the majors in Iraq are exceptional for the oil industry.

They include a provision that could allow the companies to reap large profits at today’s prices: the ministry and companies are negotiating payment in oil rather than cash.