Well,

for example- thermal maturity in petroleum studies, see the attached figure

Sincerely

every downhole tool has a temperature calibration curve.. more use of temperature will l;ead to better more reliable data and interprettaion

If you are measuring the temperature at the bit cutter/formation interface generated by the drilling action, then this may assist in bit design.

Are you looking at different types of bit? Have you included the effect of a drilling fluid which will dissipate some of the heat?

On the other hand and apart from the above and in drilling operations, overpressure formatiops could be defined usign temperature curve while drilling.

Formation temprature is important in geothermal drilling operations. Reservoir rock temprature with bottomhole temprature is important for applications of geothermal fluid. For example purpose of usage changes by temprature.

We all know that temperature should increase with depth. measuring temperature can help us to monitor the formation in case of any anomaly. An abnormal temperature (i.e. one that doesn't obey the rule of temperature increasing with depth or a sudden kick) might be as a result of various characteristics and properties of the formation, one of which can be overpressure zone.

Temperature log measurement can be very important because it also helps the driller to make informed decision on the need to adjust the drilling mud in order to cool down the bit when a temperature kick occurs.

In fact, the use of this log type is very wide as it is also utilized to study the thermal history among many other uses Orkun Turgay

In addition, measuring temperature while drilling can help us in monitoring the fluid movements within the borehole. These movements can be inflow (formation fluids flow into borehole) or outflow (drilling fluids flow into the formation).

In the case of inflow:

The continuous flow of formation water or oil into the borehole produces high temperature anomalies, as these fluids are at the formation temperature which is higher than the temperature of the drilling mud. On the other hand, the gas flow into the borehole produces a low temperature anomaly (as a result of gas expansion while entering the borehole).

In the case of outflow:

The fractured zones can be identified as low temperature anomalies as the drilling fluid (which is cooler than the formation fluids) enters the formation causing a drop in the temperature.

I use BHA mud temperature to come up with a thermal profile that is used to correct the driller's pipe tally depth using a way-point based incremental correction. This thermally corrected depth is then the basis of the elastic stretch correction used in Driller's way-point Depth correction. It is also an input to the correction uncertainty for the depth measurement uncertainty. For details, see "Along-hole Depth" on www.lulu.com.

It will depend upon the level of temperature you hav to measured and thermal properties of the material on which you are conduction experiments.

In deep wells, if bottom hole temperature has time to stabilise before running each string of casing then logging this max. and plotting temperature versus depth can provide a good estimate of geothermal gradient. This gradient surface intercept can then indicate whether the structure has been subject to uplift or subsidence in recent geological time. (see Geothermal gradient in Wikipedia).

In some depositional environments, increasing temperatures could cause considerable increase in background gas levels. This is also used to indicate secondary pressuring mechanism other than compaction disequilibrium which is the primary pressuring mechanism in geopressure modeling.