NOVELTY - Transforming (M1) waste organic material to produce liquid transportation or heating fuel comprises: (a) subjecting waste organic material to anaerobic digestion by microorganisms in biogas production facility; (b) collecting crude biogas; (c) removing impurities from biogas; (d) introducing first amount of combustible fluid feedstock to apparatus for delivering feedstock to fuel production facility; (e) withdrawing second amount of feedstock; (f) processing at fuel production facility second amount of feedstock; and (g) producing third amount of liquid transportation or heating fuel.    USE - The method is useful for transforming waste organic material to produce a liquid transportation or heating fuel, where the liquid transportation or heating fuel is gasoline, diesel, heating oil or jet fuel (claimed).    ADVANTAGE - The method: provides liquid transportation or heating fuel which is renewable or partially renewable (claimed) and eligible for the generation of low carbon fuel standard credits; and is simple and cost effective.    DETAILED DESCRIPTION - Transforming (M1) waste organic material to produce a liquid transportation or heating fuel comprises: (a) subjecting waste organic material to anaerobic digestion by microorganisms in a biogas production facility that incorporates apparatus to collect the microbially generated biogas; (b) collecting crude biogas from the biogas production facility; (c) removing impurities from the crude biogas to yield a combustible fluid feedstock; (d) introducing a first amount of combustible fluid feedstock from step (b) or (c) to apparatus for delivering a combustible fluid feedstock to a fuel production facility; (e) withdrawing for use at a fuel production facility a second amount of combustible fluid feedstock equal to the first amount of combustible fluid feedstock; (f) processing at the fuel production facility the second amount of combustible fluid feedstock to produce renewable hydrogen; and (g) producing a third amount of liquid transportation or heating fuel by a process that comprises combining renewable hydrogen derived from the second amount of combustible fluid feedstock with a desulfurized, crude oil derived liquid hydrocarbon in a reactor under conditions to hydrogenate the liquid hydrocarbon with the renewable hydrogen. INDEPENDENT CLAIMS are also included for:    (1) producing (M2) a transportation or heating fuel, comprising (a1) causing a first amount of combustible fluid feedstock to be introduced to apparatus for delivering a combustible fluid feedstock to a fuel production facility, where the first amount of combustible fluid feedstock is derived from a crude biogas that was generated by anaerobic digestion of waste organic material and from which impurities were removed following collection from a biogas production facility, (b1) withdrawing for use at a fuel production facility, a second amount of combustible fluid feedstock equal to the first amount of combustible fluid feedstock, and the steps (f) and (g) as above per se; and    (2) producing a combustible fluid feedstock for use in producing a transportation or heating fuel, comprising the steps (a)-(d) as above per se, and (a2) causing a fuel production facility to use combustible fluid feedstock in a process for producing transportation or heating fuel, comprising withdrawing for use at a fuel production facility a second amount of combustible fluid feedstock from the apparatus equal to the first amount of combustible fluid feedstock, processing the second amount of combustible fluid feedstock to produce renewable hydrogen, and combining renewable hydrogen derived from the second amount of combustible fluid feedstock with a desulfurized, crude oil derived liquid hydrocarbon in a reactor under conditions to hydrogenate the liquid hydrocarbon with the renewable hydrogen.