Process for the production of high value bio- chemicals, preferably including paraffins, LPG, jet fuel, diesel and naphtha, from natural occurring oil(s) containing acyl-containing compounds having 10 to 24 carbons including fatty acid esters and free fatty acids, and other components including impurities, comprising the steps of: (a) refining the natural occurring oil(s) to remove at least a part of the impurities and to obtain a refined oil, (b) optionally pre-treating the refined oil to further remove impurities and to obtain a pre-treated oil, (c) hydroprocessing the refined oil or the pre-treated oil in presence of dihydrogen and of at least one catalyst to transform fatty acid esters and free fatty acids contained in said refined oil or pre-treated oil into linear or substantially linear paraffins, where the hydroprocessing is chosen among hydrodeoxygenation and decarboxylation and the hydrodeoxygenation is carried out at a temperature from 200 to 500°C, under a pressure from 1 MPa to 10 MPa and with a dihydrogen to oil feed ratio from 100 to 2000 Nl/l, the decarboxylation is carried out at 100 to 550°C in presence of dihydrogen at pressures ranging from 0.01 up to 10 MPa, the dihydrogen to feedstock ratio being from 100 to 2000 Nl/l, characterized in that the refining step (a) includes a hydrodynamic cavitation processing of the natural occurring oil(s) in presence of water under conditions efficient to generate cavitation features and to transfer at least a part of impurities contained in the natural occurring oil(s) into an aqueous phase, and separating the aqueous phase from an oil phase and recovering the oil phase as a refined oil. (a) refining the natural occurring oil(s) to remove at least a part of the impurities and to obtain a refined oil, (b) optionally pre-treating the refined oil to further remove impurities and to obtain a pre-treated oil, (c) hydroprocessing the refined oil or the pre-treated oil in presence of dihydrogen and of at least one catalyst to transform fatty acid esters and free fatty acids contained in said refined oil or pre-treated oil into linear or substantially linear paraffins, where the hydroprocessing is chosen among hydrodeoxygenation and decarboxylation and the hydrodeoxygenation is carried out at a temperature from 200 to 500°C, under a pressure from 1 MPa to 10 MPa and with a dihydrogen to oil feed ratio from 100 to 2000 Nl/l, the decarboxylation is carried out at 100 to 550°C in presence of dihydrogen at pressures ranging from 0.01 up to 10 MPa, the dihydrogen to feedstock ratio being from 100 to 2000 Nl/l, characterized in that the refining step (a) includes a hydrodynamic cavitation processing of the natural occurring oil(s) in presence of water under conditions efficient to generate cavitation features and to transfer at least a part of impurities contained in the natural occurring oil(s) into an aqueous phase, and separating the aqueous phase from an oil phase and recovering the oil phase as a refined oil. the hydrodeoxygenation is carried out at a temperature from 200 to 500°C, under a pressure from 1 MPa to 10 MPa and with a dihydrogen to oil feed ratio from 100 to 2000 Nl/l, the decarboxylation is carried out at 100 to 550°C in presence of dihydrogen at pressures ranging from 0.01 up to 10 MPa, the dihydrogen to feedstock ratio being from 100 to 2000 Nl/l, characterized in that the refining step (a) includes a hydrodynamic cavitation processing of the natural occurring oil(s) in presence of water under conditions efficient to generate cavitation features and to transfer at least a part of impurities contained in the natural occurring oil(s) into an aqueous phase, and separating the aqueous phase from an oil phase and recovering the oil phase as a refined oil.