Step Profile (Invasion Model)
A step profile in resistivity log invasion modeling is a simplifying assumption about the radial distribution of formation fluids near the wellbore — specifying an abrupt change from the flushed zone (the immediate near-borehole region where mud filtrate has displaced essentially all moveable formation fluids) to the undisturbed zone (the deep formation beyond the invasion zone where original formation fluids remain), with no transition zone or annulus zone between them; the step profile model is the simplest possible representation of mud filtrate invasion, characterizing the formation through three parameters: flushed-zone resistivity (Rxo, the resistivity of the formation in the flushed zone), undisturbed-zone resistivity (Rt, the true formation resistivity beyond the invasion), and diameter of invasion (the radial distance from the wellbore to the boundary between flushed and undisturbed zones); this simple three-parameter model has been used most commonly in connection with older resistivity logs (dual induction or dual laterolog systems) where only three resistivity measurements at different depths of investigation were available, with the three parameters of the step profile model being matched to the three available measurements through the standard tornado/butterfly chart interpretation methodology; the model assumes equal invasion at all azimuths around the wellbore (azimuthal symmetry), with the resulting cylindrical invasion geometry being a further simplification of actual invasion patterns; newer array resistivity logs with 4-6 different depths of investigation allow more complex invasion models to be interpreted (including transition zones, annulus zones, and azimuthally varying invasion patterns), supporting more accurate characterization of actual invasion conditions; modern computerized invasion correction algorithms include support for the simple step profile model along with more sophisticated alternatives, with the analyst selecting the appropriate model based on the data quality and the operational requirements.
Key Takeaways
- Step profile model parameters include three fundamental quantities — flushed zone resistivity Rxo (typically the highest value among the three resistivity measurements used in tornado chart analysis when invasion is resistive, lowest when invasion is conductive), undisturbed zone resistivity Rt (typically determined as the asymptotic deep resistivity reading after invasion correction), and diameter of invasion (typical values 10-100 inches depending on formation conditions and time since drilling); the three parameters together define the step profile invasion that is the simplest representation of the actual invasion conditions; modern computerized invasion correction software automatically determines these parameters from the input array resistivity data through systematic inversion algorithms.
- Step profile vs more complex invasion models trade simplicity vs accuracy — the step profile model is mathematically simple and supports straightforward analytical interpretation through tornado charts and equivalent methods, but the simplification may introduce systematic errors in formations where the actual invasion has gradual transition zones or annulus features; more complex invasion models including transition zone (smooth gradient between flushed and undisturbed zones) and annulus model (specific oil-bearing-formation geometry with intermediate zone of high water saturation) provide more accurate representation of specific formation conditions but require more sophisticated analysis; the operational selection between models depends on the formation conditions and the analytical requirements.
- Operational use of step profile interpretation continues despite availability of more sophisticated alternatives — for many routine formation evaluation applications, the step profile interpretation provides adequate accuracy at acceptable analytical complexity; the conceptual simplicity of the step profile supports educational and explanatory uses where understanding the basic invasion correction concept is more important than precise quantitative analysis; modern integrated petrophysical software supports step profile interpretation as one option alongside more sophisticated alternatives, with the analyst selecting the appropriate model based on the specific application; the continued relevance of step profile interpretation reflects its operational adequacy for routine applications.
- Limitations of step profile model affect interpretation in specific situations — for heavily invaded oil-bearing formations where annulus zones develop (with high water saturation between flushed and undisturbed zones), the step profile model gives systematically incorrect results that should be replaced with annulus model interpretation; for shaly formations with substantial transition zones, the step profile may underestimate the actual flushed zone effects; for formations with azimuthal invasion variation, the step profile cannot capture the directional invasion character; modern integrated petrophysical interpretation considers these limitations and applies appropriate alternative models when the step profile assumptions are inadequate.
- Modern array resistivity tool processing extends the basic step profile concept — modern array resistivity tools (with 4-6 different depths of investigation rather than the 3 inputs of older tools) provide additional constraint that supports more sophisticated invasion analysis; the extended data supports interpretation through the step profile model with greater confidence (when the step profile is appropriate) or interpretation through more complex models when the step profile is inadequate; the integrated array tool processing represents the modern state of the art in invasion correction, with the resulting interpretation supporting reliable formation evaluation across diverse operational conditions.
Fast Facts
Step profile invasion modeling has been part of resistivity log interpretation since the development of dual-induction and dual-laterolog tools in the 1960s, with continuous evolution of analytical methodology over decades. The continued use of step profile interpretation in modern petrophysical analysis demonstrates the operational durability of this simplifying model despite the availability of more sophisticated alternatives.
What Is the Step Profile Model?
The step profile is the simplest invasion model, assuming abrupt transition between flushed and undisturbed zones. The model supports basic invasion correction through three parameters (Rxo, Rt, invasion diameter) and provides the conceptual foundation for invasion correction methodology even as more sophisticated alternatives have emerged.
Synonyms and Related Terminology
The step profile is sometimes called the simple invasion model or two-zone invasion model. Related terms include invasion (the broader concept), Rxo (one parameter), Rt (one parameter), tornado chart (related interpretation method), butterfly chart (related interpretation method), transition zone (related concept), annulus invasion (alternative model), array resistivity log (modern tool), and dual induction (legacy tool using step profile).
Why Step Profile Matters in Invasion Correction
The step profile model provides the simplest framework for invasion correction in resistivity logs, supporting routine interpretation across diverse formation conditions. The continued use of step profile interpretation in modern petrophysical analysis demonstrates the operational adequacy of this model for many applications.