Discontinuity

A discontinuity in geophysics and petroleum geology is a subsurface boundary or interface at which a physical quantity, most commonly the velocity of seismic wave propagation, changes abruptly or over a very short depth interval, creating a contrast in physical properties that causes seismic energy to be partially reflected back toward the surface and partially transmitted through the interface, making the boundary detectable by seismic reflection surveys and interpretable as a major geological or geophysical boundary in the subsurface; the most fundamental discontinuity in Earth science is the Mohorovicic discontinuity (Moho), the boundary at approximately 35 kilometers depth beneath the continents (and 6 to 7 kilometers beneath the ocean floor) where compressional wave velocity increases abruptly from approximately 6.5 to 7.5 kilometers per second in the lower crust to 8.0 to 8.5 kilometers per second in the upper mantle, reflecting the change in composition from felsic or mafic crustal rock to ultramafic peridotite; in petroleum exploration, the term discontinuity is applied at smaller scales to include any subsurface boundary detectable by seismic reflection, including stratigraphic unconformities (where erosion has removed part of the section, creating a velocity and impedance contrast), fluid contacts (where the acoustic impedance changes because oil or gas replaces water in the pore space), diagenetic fronts (where cementation or dissolution has changed the elastic moduli of the rock across a depth or facies boundary), and fault planes (where the juxtaposition of rocks with contrasting properties creates a laterally variable velocity boundary).

Key Takeaways

  • Seismic discontinuities are classified by their nature and scale: first-order discontinuities (such as the Moho, the core-mantle boundary at 2,891 kilometers depth, and the inner core-outer core boundary at 5,150 kilometers depth) are global features detectable by both reflection and refraction seismology at crustal and global scales; second-order discontinuities within the crust include the Conrad discontinuity (boundary between upper and lower crust at approximately 10 to 20 kilometers depth, marked by a compressional velocity increase from 6.0 to 6.5 km/s to 6.5 to 7.0 km/s) and various intra-crustal reflectors observed in deep seismic reflection profiles; in petroleum exploration, the relevant discontinuities are primarily the stratigraphic and diagenetic boundaries within the sedimentary section (depths of 0 to 6 kilometers) that create the reflection events visible on reflection seismic data, with each reflection event corresponding to an impedance contrast (density times velocity product changes) at the interface; the reflection coefficient at a discontinuity equals (Z2 - Z1) / (Z2 + Z1), where Z1 and Z2 are the acoustic impedances above and below the boundary, and the sign of the reflection coefficient (positive or negative) determines whether the reflected wave has the same polarity as the incident wave (hard kick, Z2 greater than Z1) or opposite polarity (soft kick, Z2 less than Z1).
  • Stratigraphic unconformities are the most economically important class of discontinuities in petroleum exploration because they represent surfaces of erosion and non-deposition that create both the structural traps (truncation traps where porous reservoir rock is eroded at the unconformity surface and sealed by the overlying unconformable sequence) and the source rock-reservoir rock relationships that are fundamental to oil and gas accumulations: angular unconformities (where tilted beds are truncated by erosion and then overlain by subhorizontal beds) are visible as reflection terminations in seismic data (downlap of offlapping reflectors against the unconformity surface from below, onlap of transgressive reflectors against it from above), creating the seismic stratigraphic patterns used in sequence stratigraphy to reconstruct relative sea level history and identify reservoir-prone depositional systems; disconformities (where parallel beds have an erosional surface between them) are more subtle seismic features requiring amplitude or character analysis to detect; the distinction between a correlatable sequence boundary (a type 1 sequence boundary with forced regression and significant erosional discontinuity) and a parasequence boundary (a less pronounced flooding surface with minimal erosional relief) is a primary outcome of the seismic stratigraphic interpretation of discontinuities in the sedimentary section.
  • Velocity discontinuities that do not correspond to major lithological contrasts are diagnostic of overpressure in the sedimentary section: in a normally pressured, normally compacted shale sequence, seismic velocity increases monotonically with depth as porosity is reduced by compaction; a velocity reversal (interval velocity decreasing with depth) within a shale or mudstone sequence indicates that the deeper section is undercompacted because abnormally high pore pressure has prevented normal compaction by supporting part of the overburden load that would otherwise be transferred to grain-to-grain contacts; this velocity discontinuity (transition from the normal velocity trend to the lower-velocity overpressured interval) is detectable on interval velocity maps derived from seismic data using the Dix formula, and its depth and magnitude are used in the Eaton pore pressure prediction method to compute the overpressure magnitude before drilling; the transition from normally pressured to overpressured sediments at this velocity discontinuity is often the most critical safety-relevant subsurface boundary in a pre-drill pressure prediction, determining the mud weight required to maintain wellbore stability without fracturing the formation.
  • Electromagnetic discontinuities are detected by magnetotelluric (MT) and controlled-source electromagnetic (CSEM) surveys rather than seismic surveys, and include resistivity contrasts associated with hydrocarbon saturation (hydrocarbons are more resistive than brine-saturated rock by a factor of 10 to 1,000), conductive pathways through salt bodies (salt is highly resistive, creating a strong electromagnetic discontinuity at its boundaries), and basement topography (crystalline basement is typically much more resistive than overlying sediments); the electromagnetic discontinuity at the top of a hydrocarbon reservoir has been used in deepwater exploration as a complementary method to seismic amplitude anomalies (bright spots) for reducing exploration risk, because both methods are needed to distinguish a hydrocarbon-saturated reservoir from a brine-saturated sand with fortuitous amplitude anomaly; CSEM surveys detect the lateral extent of the resistive anomaly associated with the hydrocarbon contact, providing information complementary to the seismic reflection amplitude at the reservoir interface.
  • Borehole measurements that detect subsurface discontinuities include the sonic log (which measures compressional and shear wave slowness, detecting velocity discontinuities with centimeter-scale vertical resolution), the density log (detecting density contrasts at lithological boundaries), the resistivity log (detecting fluid and lithology contrasts through the formation), and the formation microimager (detecting sub-millimeter physical discontinuities in the borehole wall, including fractures, bedding planes, and diagenetic boundaries); the calibration of seismic discontinuities to borehole measurements is the fundamental exercise of seismic-to-well tie and seismic inversion, where the acoustic impedance derived from density and sonic log measurements is compared to the seismic reflection amplitude at the corresponding depth to verify that the seismic event corresponds to the physical discontinuity identified on the borehole logs, ensuring that the seismic interpretation is grounded in physical reality rather than processing artifact.

Fast Facts

The Mohorovicic discontinuity is named for Croatian seismologist Andrija Mohorovicic, who identified the velocity increase at the crust-mantle boundary in 1909 from the arrival time differences between crustal P-waves and head waves (refracted along the mantle interface) recorded after a 1909 earthquake in Croatia. The Conrad discontinuity within the continental crust was identified by Victor Conrad in 1925 from similar refraction seismology analysis. In petroleum geophysics, the word "discontinuity" most commonly refers to the smaller-scale stratigraphic unconformities and fluid contacts that are the targets of reflection seismic exploration, rather than to the deep global boundaries that bear the names of their discoverers in academic geophysics.

What Is a Discontinuity?

A discontinuity is a subsurface boundary where a physical property, typically seismic wave velocity or acoustic impedance, changes abruptly, causing seismic energy to be reflected and enabling the boundary to be detected and mapped by seismic surveys. Major global discontinuities include the Mohorovicic discontinuity (crust-mantle boundary) and the core-mantle boundary. In petroleum exploration, discontinuities of practical importance include stratigraphic unconformities (erosional surfaces that truncate reservoir rocks), velocity reversals that indicate overpressure, fluid contacts (oil-water and gas-water interfaces), and diagenetic fronts. The reflection coefficient at a discontinuity determines whether seismic reflection events appear as positive or negative amplitude anomalies on the processed seismic section.

Discontinuity in geophysics is also called a velocity boundary, impedance contrast, or seismic reflector (for boundaries detectable by reflection seismology). Related terms include Moho (short for Mohorovicic discontinuity, the boundary between the Earth's crust and mantle at approximately 35 kilometers depth beneath the continents and 6 to 7 kilometers beneath the ocean floor, where compressional wave velocity increases abruptly from 6.5 to 7.5 km/s in the lower crust to 8.0 to 8.5 km/s in the upper mantle, marking the most significant velocity discontinuity in the continental geological section), unconformity (a discontinuity in the sedimentary record where an erosional surface separates older rocks (often tilted or deformed) from overlying younger beds, creating both a velocity and density contrast detectable by seismic reflection and representing a period of missing geological time; truncation unconformities are exploration targets where porous reservoir rock is sealed by the overlying unconformable sequence), acoustic impedance (the product of rock density and seismic wave velocity, whose contrast across a discontinuity determines the reflection coefficient and therefore the amplitude of the reflected seismic wave at that boundary; impedance inversions computed from seismic data and well calibration are used to map subsurface discontinuities in terms of their physical rock properties rather than just their reflection amplitude), velocity reversal (a decrease in seismic interval velocity with increasing depth, indicating undercompaction caused by abnormally high pore pressure (overpressure), detectable as a velocity discontinuity in interval velocity maps derived from seismic NMO analysis and used in pore pressure prediction to identify overpressured intervals that require increased mud weight to drill safely), and seismic reflector (a subsurface discontinuity in acoustic impedance that returns sufficient seismic energy to be detected and correlated across a seismic survey, corresponding to a geological boundary such as a stratigraphy surface, unconformity, fluid contact, or fault plane, which is the fundamental observable from which subsurface geology is interpreted in seismic exploration).

Why Understanding Discontinuities Is Fundamental to Seismic Exploration

Every event on a seismic reflection section is a physical discontinuity in the Earth's subsurface. The exploration geologist's job is to decide which of those discontinuities corresponds to a reservoir-bearing unconformity, a fluid contact, or a fault-bounded trap -- and which are diagenetic artifacts, processing multiples, or diffractions from structural edges. That judgment requires understanding what physical change at the boundary creates the reflection (velocity contrast? density contrast? both?), whether the reflection polarity is consistent with the expected fluid type (does a bright spot have the right polarity for a gas sand?), and whether the depth of the reflector is consistent with the well-calibrated velocity model. A misidentified discontinuity leads to a misidentified trap, which leads to a dry hole. Getting the physics of discontinuities right is not academic -- it is the first step in finding oil and gas from surface seismic data.