NOVELTY - Hydro processing involves a) introducing non-petroleum feed containing oxygen ( greater than or equal to 10 wt.%) to be treated along with diluent and hydrogen into reaction zone having hydro processing catalyst; b) allowing feed and hydrogen to react in liquid phase within the zone to produce reaction products; c) removing products from zone; d) separating water from products; e) introducing portion of separated product along with hydrogen into second reaction zone; and f) allowing the product feed and hydrogen to react in liquid phase within second zone to produce a second-reaction-zone reaction product.    USE - For hydroprocessing of high-contaminant and/or high-olefinic feedstocks comprising vegetable oil, animal oil and other bio oil.    ADVANTAGE - The method controls the byproducts created during the hydroprocessing of high-contaminant feedstocks, thus prevents or minimizes any damage cause to the system.    DETAILED DESCRIPTION - Hydro processing involves a) introducing a non-petroleum feed containing oxygen ( greater than or equal to 10 wt.%) to be treated along with a diluent and hydrogen into a first reaction zone containing a hydro processing catalyst, where the amount of diluent combined with the non-petroleum feed is selected to at least one of (A1) dissolve a preselected amount of hydrogen in the combined non-petroleum/diluent feed, (B1) maintain the temperature within the reactor below a preselected temperature, and (C1) adjust the capacity of the liquid phase to dissolve or carry water hydrogen; b) allowing the feed and hydrogen to react in a liquid phase within the first reaction zone to produce reaction products, at least one of the reaction products being water; c) removing the reaction products from the first reaction zone; d) separating water from the removed reaction products as an aqueous phase to provide a separated reaction product that is free from the separated water; e) introducing at least a portion of the separated reaction product as a feed along with hydrogen into a second reaction zone containing a hydro processing catalyst; and f) allowing the separated reaction product feed and hydrogen to react in a liquid phase within the second reaction zone to produce a second-reaction-zone reaction product.