the amount of water required for oil extraction will depend upon the several factors like nature of plant sample; apparatus used, nature of oil present, volatility of oil. In a clavenger type apparatus the sample should be merged in the water and and and for 1mg oil 500ml water may be sufficient.
Already participated in a study that evaluated the efficiency of water use in a medicinal plant. Really are few studies on irrigated farming these species. The WUE (weight / m³) is determined following the Doorenbos & Kassam (1994)'s equation: WUE = Y / W, Were Y is the yeld (g, t, kg for ha) and W is the water consumed by the crop (m³ / ha). The efficiency of water use will be in accordance with the climatic conditions and the response of the plant. I do not need exact values for your question, but the observed results, the WUE for the production of dry matter was approximately 1 kg to 1 m³ consumed. For the essential oil, the order was approximately 7g of essential oil for every m³. More details are in work Determination of crop coefficient (Kc) and water use efficiency for irrigated peppermint rosemary (in Portuguese).