* Dubai and Qatar hit 2-yr troughs * Abu Dhabi records lowest close in 2015 * Saudi settles marginally above critical 7,000 points * State budget announcements this month shape sentiment By Celine Aswad DUBAI, Dec 9 (Reuters) - Gulf markets saw volatile trading on Wednesday as falling oil prices and their impact on upcoming state budgets pushed some to multi-year lows, while others edged into positive territory after heavy losses the previous day. Dubai's benchmark dropped 0.3 percent to its lowest close in two years, dipping to 3,001 points. Financial stocks dragged the index with Emirates NBD tumbling 2.9 percent to 7.5 dirhams, its lowest close of 2015.