A method for evaluating formations and bit conditions is presented. The present invention processes signals indicative of downhole weight on bit (WOB), downhole torque (TOR), rate of penetration (ROP) and bit rotations (RPM), while taking into account bit geometry to provide a plurality of well logs and to optimize the drilling process. Drilling operations are monitored and adjusted in response to these processed signals and logs. The processed signals may include the following signals: drilling response, differential pressure, pore pressure, porosity, porosity compensated for formation effects, drilling alert, bit wear factor, abnormal torque, and bearing wear. The logs may include a drilling response log, a differential pressure log, a porosity log, a porosity log compensated for formation effects, a drilling alert log, a wear factor log, a torque analysis log and a bearing wear log.

The invention relates to a method of monitoring the drilling of a borehole through an earth formation with a rotating drill bit fixed at the lower end of a drillstring. At least one physical quantity associated with the vibrations resulting from the interaction of the rotating drill bit with the earth formation is detected and an oscillatory signal is generated in response thereto. Filter coefficients a_k of an auto-regressive filter model are determined by fitting the filter output signal with the oscillatory signal. The reflection coefficients of the vibrations propagating along the drill string and being reflected by a mis-match of impedance of two successive elements of the system earth formation/drillstring are derived from the filter coefficients. Finally, the hardness of the formation being drilled, the contact of the drillstring with the borehole and the vibration level of the vibration along the drillstring are determined from the reflection coefficients.

The invention relates to a method of determining the porosity of an underground formation being drilled by a rotating drill bit mounted at the lower end of a drill string. The torque (TOR) and the weight (WOB) applied on the bit when drilling the underground formation are measured; the effect of the geometry of the drill bit on the torque and weight on bit response is determined; the porosity (phi) of the formation being drilled is derived from the measured TOR and WOB taking into account the effect of the geometry of the drill bit.

Preferentially, the porosity phi is determined from the following equation:

TOR = (k₁ + k₂.phi) WOBª

where k₁, k₂ and a are parameters characteristic of the geometry of the drill bit.

Formation Strength and other measurement while drilling parameters are combined in a formation volumetric analysis which produces not only the traditional volumetric components of clay volume, mineral volume, total porosity, and water filled porosity, but also, in shaley formations, an excess or overpressure porosity. The overpressure porosity is then utilized to generate an indication of pore pressure which in turn is used in the drilling process as an aid in determining the lowest optimal drilling mud weight for most efficient drilling without incurring excessive risks of a blowout arising from an overpressured formation.

Information on tooth wear is obtained from the frequency distribution spectrum of a vibrational quantity influenced by the impact of cutter teeth on the bottom of a bore. In the illustrated example spectra are obtained from the product of torque and torsional acceleration and tooth wear is indicated by the shift upwardly in frequency of a pronounced peak occurring at T1 for a one eighth worn bit and at T5 for a five eighths worn bit. Other quantities which may be used, singly or together to enhance spectral information, are weight on bit, vertical acceleration, transverse acceleration, standpipe pressure. Abrupt changes in frequency distribution curves indicate abrupt occurrences such as broken teeth or stuck cones. A stuck cone is also indicated by unidirectional peaks in a plot of torsional acceleration against time.

In a method of assessing drilling conditions during a drilling operation measurements of torque applied (TOR), weight on bit (WOB), rate of penetration (ROP), and rotation speed (ROT) are gathered. Computed therefrom is a history (60, 61) of points (x, y) where y = (TOR/WOB) and y = (ROP/ROT) : y being a derived constant indicative of down hole geometry. Trends in this history are monitored to assess drilling conditions. For example in soft plastic rock migration 62 towards the origin and in hard plastic rock migration 63 towards the abcissa, is indicative of drill bit wear.