of either brine or oil at selected flow rates for permeability testing purposes if desired a heating tape 21 can be applied to core sample container 20 in order to heat the core sample to a desired ambient or reservoir temperature during testing fluids such as water or oil are pressurized and pumped across the core sample in core sample container 20 by a pump p the testing apparatus a includes the pump p fig4 and 5 which is capable of providing calibrated fluid pressure and volume for core sample permeability testing the pump p is preferably of the type known as a high pressure liquid chromatography or hplc pump of a suitable commercially available type a suitable pump for example is a model pu 2086 hplc pump available from jasco international co ltd of tokyo japan the pump p is connected to an accumulator bank b which can selectively furnish either water brine or oil to the core holder h with the present invention the apparatus a is easily transportable to and usable at well locations on site even remote ones thus the fluids used in testing a formation core sample can be those encountered in the same well from which the core sample was obtained measurement instrumentation i in the form of a first or low differential pressure transducer section t and a second or high pressure differential transducer section s is connected to obtain pressure measurements in a manner to be set forth for permeability testing and measurement purposes a data acquisition section d is connected to the measurement instrumentation i fig5 for processing recording storage and display of data measurements obtained from tests performed on core samples in the core holder.