TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: The high-stability bio-oil has an oxygen content of less than 15 wt.%, the intermediate-stability bio-oil has an oxygen content of 15-18 wt.%, and the low-stability bio-oil has an oxygen content greater than or equal to 18 wt.%. The providing of step (a1) includes thermochemically converting biomass in conversion reactor, where the biomass comprises lignocellulose. The converting of the biomass is by fast pyrolysis and where the conversion reactor is a riser reactor. The first, second, third, fourth, fifth, and/or sixth petroleum-derived streams are each separately selected from virgin gas oil/diesel, light cycle oil (LCO), light catalytic-cycle oil (LCCO), atmospheric residue (AR), deasphalted oil (DAO), heavy crude oil (HCO), heavy catalytic-cycle oil (HCCO), vacuum gas oil (VGO), and/or vacuum residue (VR). Each of the fractionating of methods (i), (ii), (iii), (iv), and/or (v) separately produce at least one product stream selected from bio-gasoline, bio-jet fuel, bio-diesel, and/or bio-fuel-oil, where the bio-gasoline (at least 75 wt.%) has boiling point of 40-215 degrees C, where the bio-jet fuel (at least 75 wt.%) has boiling point of 175-325 degrees C, where the bio-diesel (at least 75 wt.%) has boiling point of 250-350 degrees C, and where the bio-fuel-oil (at least 75 wt.%) has boiling point of 325-600 degrees C. The step (a1) provides at least high-stability bio-oil, where step (b1) involves method (i) and/or (ii). The hydrotreating of method (i) is carried, out in diesel hydrotreating unit of the petroleum refinery. The step (b1) involves method (ii). The catalytic cracking of method (ii) is carried out in resid fluid catalytic cracking (RFCC) unit or in a fluid catalytic cracking (FCC) unit of the petroleum refinery. The first and/or second petroleum-derived, streams comprise virgin gasoil/diesel, LCO, LCCO, AR, DAO, VGO, HCCO, and/or VR. The step (a1) provides at least intermediate-stability bio-oil, where step (b1) involves method (iii) and/or (iv). The step (b1) involves method (iii). The catalytic cracking of method (iii) is carried out in a fluid catalytic cracking (FCC) unit of the petroleum refinery. The step (b1) involves method (iv). The thermally cracking of method (iv) is carried out in a hydrocracking unit of the petroleum refinery. The third and/or fourth petroleum-derived streams are selected from light cycle oil (LCO), and/or light conversion-cycle oil (LCCO), deasphalted oil (DAO), vacuum gas oil (VGO), and/or heavy catalytic-cycle oil (HCCO). The step (a1) provides at least low-stability bio-oil, where step (b1) involves method (v) and/or (vi). The step (b1) involves method (v). The thermally cracking of method (v) is carried out in coker unit of the petroleum refiner. The step (b1) involves method (vi). The thermally cracking of method (vi) is carried, out in a coker unit of the petroleum refinery. The fractionating of method (vi) occurs in a coker fractionator. The fifth and/or sixth petroleum-derived stream is selected from LCO, and/or LCCO, AR, DAO, and/or VR. Preferred Systems: In the system (S1), the refinery comprises refining system (i), where the first hydrotreating unit is diesel hydrotreating unit in the petroleum refinery. The refinery comprises refining system (ii), where the second catalytic cracking unit is a resid fluid catalytic cracking (RFCC) unit or a fluid catalytic cracking (FCC) unit in the petroleum refinery. The refinery comprises refining system (iii, where the third catalytic cracking unit is FCC unit and the third hydrotreating unit is a FCC-feed pretreater in the petroleum refinery. The refinery comprises refining system (iv), where the fourth hydrocracking unit is a hydrocracker in the petroleum refinery. The refinery comprises refining system (v), where the fifth thermal cracking unit is a conventional coker in the petroleum refinery. The refinery comprises refining system (vi), where the sixth fractionator is a conventional coker fractionator and the sixth thermal cracking unit is a conventional coker in the petroleum refinery. EXAMPLE - No suitable example given.