Diurnal Variation

Diurnal variation in geoscience refers to the cyclical change in a physical or environmental property of the Earth that completes one full cycle over approximately a 24-hour period corresponding to the Earth's rotation, with the most significant diurnal variations affecting geophysical surveys including the daily fluctuation in the Earth's geomagnetic field (caused by electric currents in the ionosphere that are modulated by solar radiation, creating a systematic field variation of 20 to 100 nanoteslas (nT) at mid-latitudes over the course of a day, with maximum field strength typically in the morning and minimum in the afternoon), the diurnal variation in atmospheric temperature and humidity (which affects the velocity of near-surface seismic waves, gravity measurement corrections, and atmospheric refraction corrections for geodetic and remote sensing instruments), and the diurnal variation in the apparent solar declination and hour angle (which governs the daily solar radiation cycle and is used in solar energy calculations and in astronomical corrections for very precise geodetic positioning); in oil and gas geophysical surveys, diurnal variation is most significant as a source of error in aeromagnetic, ground magnetic, and borehole magnetic surveys, where the natural daily variation in the geomagnetic field must be monitored and subtracted from the measured field values to isolate the anomalies caused by subsurface geological features (magnetic rocks, magnetized ore bodies, buried infrastructure, or formation magnetic susceptibility contrasts) from the time-varying regional field change that would otherwise be mistaken for a geological anomaly.

Key Takeaways

  • Geomagnetic diurnal variation correction in aeromagnetic surveys uses a stationary base station magnetometer (a ground-based fluxgate or proton precession magnetometer installed at a fixed location within the survey area) that continuously records the total field intensity at 1 to 10-second intervals throughout the survey flight; the base station record captures the diurnal variation as a time series that is subtracted from each aircraft survey measurement at the corresponding measurement time to remove the temporally varying background field, isolating the spatially varying anomaly field caused by subsurface geology; the correction accuracy depends on the spatial gradient of the diurnal variation across the survey area (which is small over areas less than 500 kilometers in extent but may require multiple base stations for large surveys) and the time synchronization between the aircraft and base station clocks (which must agree to within 1 second to avoid applying the wrong correction increment from the rapidly changing diurnal waveform); aeromagnetic surveys typically require that the diurnal variation at the time of measurement is less than 50 nT (quiet day) for surveys targeting anomalies with amplitudes of 10 to 100 nT, and surveys are suspended or re-flown during magnetically disturbed periods (magnetic storms associated with solar activity) when the diurnal variation may exceed hundreds to thousands of nT and the correction becomes unreliable.
  • Magnetic storm interference is an extreme form of diurnal variation caused by the interaction of solar wind particles with the Earth's magnetosphere during periods of high solar activity (solar flares, coronal mass ejections, high-speed solar wind streams): magnetic storms can cause geomagnetic field variations of hundreds to thousands of nT within hours, completely overwhelming any geological anomaly signal in a magnetic survey and rendering any data collected during a storm uncorrectable by the standard diurnal correction procedure; the Kp index (a global geomagnetic activity index ranging from 0 to 9, computed from 13 mid-latitude magnetometer observatories) is used by aeromagnetic survey operators to assess the magnetic activity level before and during survey operations, with flights typically suspended when Kp exceeds 2 or 3 for high-resolution surveys and when Kp exceeds 4 for reconnaissance surveys; solar storm forecasting (from NOAA's Space Weather Prediction Center) provides 1 to 3 day advance warning of elevated geomagnetic activity, allowing survey scheduling to avoid the most disturbed periods and maximizing the proportion of survey data collected during quiet magnetic conditions.
  • Borehole magnetic surveys (for directional well surveying using MWD magnetic tools) are affected by diurnal variation through its effect on the measured total field intensity and inclination of the Earth's field at the wellbore location: MWD magnetic direction measurements (azimuth, declination correction) depend on accurate knowledge of the Earth's magnetic field vector at the survey location and time; diurnal variations in field intensity of 20 to 100 nT represent 0.01 to 0.1 percent of the Earth's total field (~50,000 nT at mid-latitudes) but can cause azimuth errors of 0.1 to 0.5 degrees if not corrected; for most directional drilling applications, this level of azimuth error (0.1 to 0.5 degrees per 1,000 meters of horizontal reach) is acceptable, but for high-precision applications (magnetic ranging for SAGD well-pair placement, anti-collision in dense well clusters, or wellbore targeting tolerances of less than 5 meters at depth), real-time in-situ reference field measurement using an Independent Simultaneous Observation (ISO) tool (a separate magnetometer deployed at the surface or in an observation wellbore) can monitor and correct for the real-time geomagnetic field including diurnal effects, improving azimuth accuracy significantly beyond the static International Geomagnetic Reference Field (IGRF) model.
  • Diurnal correction in gravity surveys removes the tidal and drift components of the Bouguer gravity anomaly: the Earth's gravity field varies diurnally by 0.1 to 0.2 milligal over a 24-hour cycle due to the gravitational attraction of the Moon and Sun (the tidal component) and the thermal expansion and contraction of the gravimeter spring as ambient temperature changes throughout the day (the instrumental drift component); gravity surveys require repeated measurements at a base station (where the measured gravity change between visits is attributed to tidal and instrument drift effects) and interpolation of the base station drift correction to each field measurement time to remove these components from the observed gravity values before computing the free-air and Bouguer anomaly; modern relative gravimeters (LaCoste and Romberg, Scintrex) have temperature compensation systems that reduce instrumental drift to less than 0.05 milligal per day, but the tidal component must still be modeled and removed for any survey with density anomaly amplitudes below 0.5 milligal.
  • Temperature diurnal variation affects the velocity of near-surface seismic waves and consequently the static corrections applied in seismic data processing: the upper few meters of the Earth's surface experience significant diurnal temperature variation (10 to 20 degrees Celsius at mid-latitudes under clear sky conditions), which alters the seismic velocity of dry, partially saturated near-surface soils (thermal expansion of soil particles reduces contact stiffness and decreases P-wave velocity in dry granular media); in very high-resolution seismic surveys (near-surface characterization, engineering site investigation) acquired over multiple days and different times of day, the diurnal velocity variation in the near-surface layer can cause apparent static shifts between seismic lines acquired at different times, degrading the tie between overlapping lines; seismic refraction statics programs that estimate near-surface velocity from first arrival times must account for diurnal velocity changes if the survey spans multiple days with significant temperature variation, and re-surveying reference shot points at different times of day can quantify the diurnal velocity effect for correction in the statics model.

Fast Facts

The daily (diurnal) variation of the Earth's magnetic field was first systematically observed and documented by George Graham in London in 1722, who noted that a magnetic compass needle did not point in a perfectly fixed direction but oscillated slightly over the course of each day; subsequent observations by Celsius, Hiorter, and Canton in the 1740s and 1750s established the connection between the diurnal magnetic variation and solar activity (the variation is stronger during the day than at night, confirming its solar origin), and the further connection between large magnetic disturbances (which Graham also observed) and auroral displays established the link between solar activity, ionospheric currents, and geomagnetic field variations that is the foundation of modern space weather science. The quantitative characterization of geomagnetic diurnal variation for the purpose of aeromagnetic survey correction became important in the 1940s and 1950s when military and commercial aeromagnetic surveying began to map the Earth's crustal magnetic field at regional scale, requiring corrections accurate enough to separate geological anomalies of a few tens of nT from the daily background field variation of similar magnitude.

What Is Diurnal Variation?

Diurnal variation is the cyclical change in a physical property of the Earth over a 24-hour period corresponding to the planet's rotation. In petroleum geophysics, the most operationally important diurnal variation is the daily fluctuation of the geomagnetic field (20 to 100 nT at mid-latitudes) caused by solar-driven ionospheric currents, which must be measured and subtracted from aeromagnetic, ground magnetic, and borehole magnetic survey data to isolate subsurface geological anomalies from the time-varying background field. Gravity surveys require diurnal correction for tidal and instrumental drift components. Magnetic storms (extreme solar-driven diurnal disturbances) may render survey data uncollectable for hours to days during periods of high solar activity.

Diurnal variation is also called the diurnal effect, daily variation, or solar daily variation. In magnetotellurics, the term may refer to the daily variation in magnetotelluric source fields. Related terms include aeromagnetic survey (a geophysical survey method in which a magnetometer is carried by an aircraft at a constant altitude to measure the total intensity and components of the Earth's magnetic field along survey flight lines; used for regional geological mapping, mineral exploration, and basement structure characterization; requires diurnal variation correction using a base station magnetometer to remove the time-varying background field), geomagnetic field (the Earth's magnetic field, generated primarily by convection of the liquid outer core and modified by magnetized crustal rocks and by external ionospheric and magnetospheric currents; the total field intensity is approximately 25,000 to 65,000 nT depending on latitude; the field slowly changes over time (secular variation) and undergoes rapid daily (diurnal) and storm-time (Kp > 3) fluctuations), magnetic storm (a period of rapid, large-amplitude (hundreds to thousands of nT) geomagnetic field disturbance caused by solar wind interaction with the Earth's magnetosphere during solar activity events (flares, coronal mass ejections); renders magnetic surveys uncorrectable and must be avoided by survey scheduling based on real-time Kp index monitoring and space weather forecasting), base station magnetometer (a ground-based fluxgate or proton precession magnetometer installed at a fixed location within or adjacent to a magnetic survey area to continuously record the diurnal field variation; the base station record is used to correct the survey measurements for the time-varying background field by subtracting the time-synchronized base station value from each survey measurement), and International Geomagnetic Reference Field (IGRF, a mathematical model of the Earth's large-scale geomagnetic field (main field) updated every 5 years by the International Association of Geomagnetism and Aeronomy; used in MWD directional survey calculations to provide the reference field values (total intensity, inclination, declination) needed to compute borehole azimuth from measured magnetometer components; does not include diurnal or short-period field variations).