1. A method of increasing the vertical resolution of well log data, comprising the steps of: moving a well logging tool relative to a well bore and taking parameter measurements at a plurality of points along the well bore to produce a log of said parameter measurements, said parameter measurements being weighted average measurements of true parameter values; inverse filtering the data contained in said log to reduce the effects of weighted averaging on parameter measurements, said inverse filtering operation determining higher resolution estimates of said logged measurements from information contained in said measurements, and the response function of said logging tool; detecting, locating and reducing the effects of impulse noise contained in said log of parameter measurements when determining said higher resolution estimates; and, producing a log of said inverse filtered data which more accurately reflects said true parameter values.