Differential Temperature Log

A differential temperature log is a wellbore measurement that records the rate of change of temperature with depth (dT/dz) rather than the absolute temperature at each depth point — by computing or directly measuring the temperature derivative along the wellbore, the differential log amplifies subtle temperature anomalies that would be difficult to detect on a conventional temperature log, because features of interest (fluid entry points, cement channeling zones, gas hydrate dissociation depths, and formation fluid crossflow) create localized temperature gradients that are superimposed on the slowly varying background geothermal gradient; in a producing well, zones contributing inflow to the wellbore show as positive temperature anomalies (cooling from Joule-Thomson expansion of gas or from cooler formation fluid entering a hotter wellbore) or negative anomalies (warming from exothermic mixing of wellbore fluids), and the differential log makes these anomalies visible as sharp inflection points superimposed on the smooth background gradient; in a cemented wellbore after a cement job, the exothermic heat of hydration of the cement generates temperature anomalies in the freshly cemented zones, and a temperature log run shortly after cementing (within 6-12 hours) reveals cemented intervals as warm zones and uncemented (channeled) intervals as relatively cool zones; the differential temperature log sharpens the boundaries of these thermal anomalies by computing the spatial derivative, making it easier to identify the top and bottom of cement placement and the exact depth of fluid entry points.

Key Takeaways

  • Production and injection logging is the primary application for differential temperature logs in producing wells, where the thermal signature of fluid entry or injection determines which perforation intervals are contributing to production and at what relative rate — a flowing gas well will show Joule-Thomson cooling at gas entry intervals because gas expands as it enters the lower-pressure wellbore from the higher-pressure formation, and the differential temperature log transforms this cooling signature from a gradual temperature decline (visible on the absolute temperature log) to a sharp negative spike at the depth of gas entry (visible on the differential log); oil and water entry intervals typically show less dramatic Joule-Thomson cooling (liquids expand less than gases and therefore cool less on expansion) but may show as inflection points in the temperature gradient that the differential log identifies; the differential temperature log is run as a companion to the production spinner log (which measures mechanical flow velocity in the wellbore) and the temperature log in production logging combinations that together identify both the depth and the relative rate of each producing interval.
  • Cement evaluation through temperature logging exploits the exothermic nature of the Portland cement hydration reaction — when cement sets, it releases heat (the heat of hydration), warming the cemented annular interval above the temperature of the surrounding formation; the magnitude of the temperature increase depends on the cement slurry composition, slurry weight, and the time elapsed since cement placement, peaking a few hours after placement and dissipating over several days; temperature logs run within 8-12 hours of cement placement show good-quality cemented intervals as warm relative to background and uncemented (fluid-filled) channels as cooler, allowing the cement evaluation engineer to identify the top and extent of the cement column; the differential temperature log sharpens the top-of-cement signature and identifies the boundaries of channels more precisely than the absolute temperature log; the temperature cement evaluation method is relatively crude compared to cement bond logs (CBL) and ultrasonic imaging tools (USIT, CAST-V) but provides valuable information in wells where mechanical damage to the casing prevents acoustic cement evaluation, and it is one of the few cement evaluation options available in casing that is too small for standard acoustic tools.
  • Crossflow detection between producing intervals in a shut-in well is another application of differential temperature logs — when a well is shut in and the wellbore fluid is allowed to equilibrate, intervals with higher pressure that are in communication with the wellbore will flow fluid upward into the wellbore at depth, while intervals with lower pressure will accept fluid flowing downward from the wellbore; this thermal fluid movement creates thermal anomalies (warm fluid entering from hot deep intervals, cool fluid entering from shallower cooler intervals) that the differential temperature log identifies as temperature inflection points at the entry depths; this application is particularly useful in wells with suspected crossflow between a gas cap and an oil leg (where high-pressure gas migrating downward at shut-in conditions indicates communication that could harm reservoir management) or in injection wells where multiple injection zones are accepting fluid at different pressures.
  • Gas hydrate stability zone identification in deepwater wells uses temperature logs to map the depth interval where methane hydrate can form in the wellbore and in the formation — gas hydrates form and are stable when temperature and pressure conditions fall within the hydrate stability envelope, which typically includes the near-seafloor sediment interval in deepwater settings; drilling through the gas hydrate zone requires managing the risk of hydrate dissociation (caused by thermal disturbance from the warm drilling fluid) or hydrate formation in the wellbore (caused by high-pressure gas contact with cold water), both of which create drilling hazards; the differential temperature log run shortly after a well is drilled provides an indicator of the gas hydrate stability zone by showing the depth at which the geothermal gradient changes (the hydrate zone has a thermal buffering effect because hydrate formation and dissociation are phase-change processes that absorb or release latent heat at approximately constant temperature); identifying the gas hydrate zone depth from the temperature log is used to inform casing setting depth decisions and to design cementing programs that avoid thermal disturbance of the hydrate interval.
  • Injection well integrity monitoring uses repeated temperature log surveys over the life of the well to detect changes in injection fluid distribution that may indicate developing wellbore integrity problems — a newly completed injection well shows a characteristic temperature profile (warm at shallow depth where the injection fluid has warmed to formation temperature, cool at the injection interval where the cold surface water enters the formation); over time, if a perforation interval plugs with scale or suspended solids, the injection fluid redistributes to other perforations, and the temperature log will show the cool injection signature migrating to different depth intervals; if the casing or cement develops a leak, injection fluid can escape to a shallow interval and the temperature log will show an anomalous cool signature at the leak depth rather than at the intended injection interval; repeated temperature logs (run annually or more frequently in fields with active injection monitoring programs) provide a long-term record of injection distribution changes that complement production logs and surface monitoring for wellbore integrity management.

Fast Facts

Temperature logging was one of the earliest quantitative wellbore measurements in the oil industry, with the first commercial temperature surveys run in the 1930s to identify cement placement and fluid entry points. The differential temperature log as a distinct product was developed in the 1950s and 1960s as analog computing technology allowed the derivative of the temperature signal to be computed and displayed alongside the temperature curve on the logging chart. Early differential temperature logs were computed mechanically by differentiating the temperature trace on the paper chart, a tedious manual process that limited their use. The digital recording of temperature data and computational processing of the differential from the 1980s onward made differential temperature logs routine and accurate enough to become a standard production logging measurement, though they remain secondary to spinner and nuclear density logs in most production logging combinations.

What Is a Differential Temperature Log?

Temperature in a wellbore tells a story, but temperature alone can be a quiet narrator. The geothermal gradient — roughly 1 degree Fahrenheit per 100 feet in most basins — is the background hum, always present, easy to overlook what is riding on top of it. Gas entering a wellbore from a perforation cools the fluid column locally by a few degrees. Cement setting in the annulus warms the casing for several hours. Crossflow from a high-pressure zone disturbs the thermal equilibrium of a shut-in well. These signals exist on the temperature log, but they can be subtle enough to miss against the steady background gradient. The differential temperature log takes the spatial derivative of the temperature measurement — how fast is temperature changing with depth at this exact point — and converts those subtle inflections into sharp peaks and troughs that stand out clearly against the near-zero background in undisturbed intervals. It turns the temperature log from a slow narrative into a punctuated map of where the wellbore is doing something interesting. In production logging, interesting usually means money.

The differential temperature log is sometimes called the temperature derivative log or dT/dz log. Related terms include temperature log (the absolute temperature measurement from which the differential is derived), production logging (the wellbore measurement program that uses the differential temperature log to identify contributing intervals), Joule-Thomson effect (the cooling mechanism that creates gas-entry temperature anomalies detected by the differential temperature log), cement evaluation (the post-cementing diagnostic application that uses differential temperature to identify top of cement and channeled intervals), crossflow (the interzonal fluid movement in a shut-in well that creates thermal anomalies detectable by the differential temperature log), and gas hydrate (the deepwater near-surface phase that creates a thermal signature in temperature logs used to identify the hydrate stability zone boundaries).

Why Small Temperature Changes Deserve a Derivative Log to Find Them

A gas entry that cools the wellbore fluid by 2 degrees Fahrenheit over a 10-foot interval is almost invisible against a geothermal gradient changing temperature by 10 degrees per 1,000 feet. The absolute temperature log shows both the background gradient and the anomaly, and the eye tends to follow the trend rather than the departure. The differential temperature log eliminates the trend and shows only the departures. A 2-degree cooling over 10 feet becomes a clear spike that no interpreter can miss. That spike tells the engineer which perforations are actually producing, where the cement channeled in the production casing, or at what depth the high-pressure zone is leaking fluid into a low-pressure zone across an unintended communication path. In production diagnostics and well integrity monitoring, the questions being asked are specific: exactly which interval is flowing, and exactly how much? The differential temperature log does not answer the second question (rates require a spinner), but it answers the first with a spatial precision that the absolute temperature curve rarely matches.