Pipeline Design & Integrity

B31G Remaining Strength of Corroded Pipe

ASME B31G provides standardized methods for evaluating whether corroded pipe segments can remain in service at their current operating pressure. It is the foundation of pipeline corrosion assessment in the United States, referenced by 49 CFR 192 and 49 CFR 195 for regulatory compliance.

Purpose

Safe Pressure Determination

Calculate the maximum safe operating pressure for pipe with metal loss from corrosion, based on defect geometry and pipe properties.

Key equation

P' = 1.1 x P x RSF

Estimated failure pressure based on flow stress, defect area ratio, and Folias bulging factor M.

Standards

ASME B31G, 49 CFR 192

ASME B31G-2012, Modified B31G (RSTRENG-1989), 49 CFR 192.485, ASME B31.8S integrity management.

Use this guide when you need to:

  • Evaluate whether corroded pipe can remain in service.
  • Choose between Original B31G, Modified B31G, and RSTRENG.
  • Understand Folias bulging factor and its effect on results.
  • Apply 49 CFR 192.485 acceptance criteria to ILI anomalies.

1. What is ASME B31G?

ASME B31G, titled "Manual for Determining the Remaining Strength of Corroded Pipelines," is a supplement to the ASME B31 Code for Pressure Piping. It provides a conservative, analytically-based method for evaluating metal-loss anomalies found by in-line inspection (ILI), hydrostatic testing, or direct examination, and determining whether the pipeline can continue to operate safely at its current or reduced pressure.

History and Development

The B31G methodology originated from burst test research conducted at Battelle Memorial Institute in the late 1960s and early 1970s. Researchers performed over 90 full-scale burst tests on pipe specimens with machined and naturally occurring corrosion defects, establishing the empirical relationship between defect geometry and remaining burst pressure.

  • 1971-1984 (Original B31G): The first edition used a parabolic (2/3 area) approximation for the metal loss profile and a flow stress of 1.1 x SMYS. This method was intentionally conservative, designed as a screening tool to determine which anomalies required immediate repair.
  • 1989 (Modified B31G / RSTRENG): Kiefner and Vieth developed an improved version using an 0.85dL rectangular approximation for the corroded area and an increased flow stress of SMYS + 10,000 psi. They also introduced the RSTRENG effective area method for profile-based Level 2 assessment, significantly reducing unnecessary repairs.
  • 2009-2012 (ASME B31G-2012): The current edition incorporates both the Original and Modified methods, adds guidance on assessment levels, clarifies application limits, and references modern ILI technology capabilities.

Regulatory Context

In the United States, pipeline integrity regulations directly reference B31G methods:

Gas pipelines

49 CFR 192

Section 192.485 requires that corroded pipe segments found during integrity assessments be evaluated using methods that meet or exceed the criteria of ASME B31G or equivalent. Anomalies exceeding the criteria must be repaired or the pipeline must be pressure-reduced.

Hazardous liquid pipelines

49 CFR 195

Section 195.452 requires integrity assessment of pipelines that could affect High Consequence Areas (HCAs). B31G and Modified B31G are accepted methods for evaluating metal-loss anomalies identified by ILI or hydrostatic testing.

Scope and Applicability

ASME B31G applies to: - Metal loss caused by external or internal corrosion - Carbon steel and low-alloy steel pipe - Defects on the pipe body (away from seam welds and girth welds) - Single, isolated corrosion anomalies - Anomalies that are primarily volumetric (wall thinning) ASME B31G does NOT apply to: - Cracks, stress corrosion cracking (SCC), or fatigue damage - Dents, buckles, or mechanical damage - Defects on or within 6 inches of seam welds or girth welds - Selective seam corrosion (preferential weld corrosion) - Defects in non-steel pipe materials - Pipe operating above its design temperature limits - Interacting defects separated by less than 3 x wall thickness
Fundamental principle: B31G compares the estimated failure pressure of the corroded pipe segment to the maximum allowable operating pressure (MAOP). If the estimated failure pressure exceeds MAOP by a sufficient safety margin, the pipe can remain in service. If not, the operator must repair the anomaly, reduce operating pressure, or replace the pipe segment.

2. Pipeline Corrosion Types

Understanding corrosion morphology is essential for selecting the correct B31G assessment approach. The geometry and distribution of metal loss directly affect which assessment level is appropriate and how conservative the results will be.

External Corrosion

External corrosion is metal loss on the outside surface of the pipe, caused by coating degradation that exposes bare steel to the soil or atmospheric environment. It is the most common form of pipeline corrosion and the primary driver for B31G assessments.

  • Causes: Coating holidays (disbondment, mechanical damage, aging), inadequate cathodic protection (CP) current, shielding of CP by disbonded coatings (tape wrap, shrink sleeves), high soil corrosivity (low resistivity, acidic pH), and differential aeration cells at soil interfaces.
  • Detection: In-line inspection (MFL, ultrasonic), close-interval survey (CIS), direct current voltage gradient (DCVG), alternating current voltage gradient (ACVG), and bell-hole excavation with direct measurement.
  • Typical morphology: Broad, shallow general corrosion or localized pitting depending on coating condition and CP effectiveness.

Internal Corrosion

Internal corrosion occurs on the inside surface of the pipe, caused by corrosive constituents in the transported fluid. In gas pipelines, it is most common at low points where water accumulates and at locations with low flow velocity.

  • Causes: Free water in the gas stream (below the water dewpoint), CO2 corrosion (sweet corrosion), H2S corrosion (sour corrosion), microbiologically influenced corrosion (MIC), oxygen ingress, and erosion-corrosion at fittings and bends.
  • Detection: Internal MFL or ultrasonic ILI tools, corrosion coupons, corrosion monitoring probes (ER, LPR), and internal visual inspection during maintenance shutdowns.
  • Critical locations: Low points (sag bends), dead legs, areas downstream of tees, compressor station piping, and meter runs.

Corrosion Morphology Classifications

Morphology Description B31G Treatment Conservatism
General (uniform) Broad area of roughly uniform wall thinning; width/length ratio near 1:1; gradual depth profile Original or Modified B31G using maximum depth; 2/3 dL or 0.85 dL area approximation is reasonable Low - area approximations closely match actual profile
Pitting Localized, deep metal loss with small surface area; depth/length ratio is high; distinct pit boundaries Original or Modified B31G using maximum pit depth; tends to be conservative because actual corroded area is much less than assumed High - RSTRENG Level 2 profile method recovers significant pressure capacity
Axial grooving Long, narrow metal loss aligned with the pipe axis; length significantly exceeds width Most critical morphology for B31G; long axial extent increases Folias factor M, reducing predicted failure pressure Low - this is the geometry B31G was designed for; results are most accurate
Circumferential grooving Metal loss oriented around the pipe circumference; narrow in the axial direction B31G is conservative for circumferential defects because the Folias factor assumes axial orientation; circumferential defects fail at higher pressures than B31G predicts Very high - consider API 579 for circumferential assessments
Spiral / helical Metal loss oriented at an angle to the pipe axis, often following spiral weld paths or helical coating patterns Project defect length onto the axial direction; use projected axial length in B31G calculation Moderate - depends on spiral angle relative to axis

Interaction of Multiple Defects

When multiple corrosion anomalies are located close together, they may interact and behave as a single larger defect. B31G provides interaction rules based on axial and circumferential spacing:

Defect Interaction Criteria (ASME B31G-2012): Axial interaction: Two defects interact if their axial spacing is less than: s < 3 x t (where t = nominal wall thickness) Some operators use a more conservative criterion: s < 1 inch or s < sqrt(D x t) Circumferential interaction: Two defects interact if they overlap when projected onto the same axial plane. When defects interact: - Combine them into a single equivalent defect - Use the total axial extent as the defect length L - Use the maximum depth from either defect as d - Re-evaluate using the combined dimensions When defects do NOT interact: - Evaluate each defect independently - The governing defect is the one with the lowest predicted failure pressure
Practical note: For pitting corrosion with many small, deep pits, the Original and Modified B31G methods using maximum depth and overall length are excessively conservative. In these cases, the RSTRENG effective area (Level 2) method can recover 20-40% of the predicted failure pressure compared to Level 1 methods, potentially avoiding unnecessary repairs.

3. Assessment Levels

ASME B31G defines three assessment levels with increasing complexity and decreasing conservatism. Each level uses more detailed information about the defect, producing a more accurate (less conservative) estimate of remaining strength.

Level 0

Screening (depth only)

Uses only defect depth as a percentage of wall thickness. If d/t < 20%, no further assessment is required for typical design factors. Quick field screening method that can be applied without detailed measurements. Most conservative level.

Level 1

Single-depth methods

Uses maximum defect depth d and overall axial length L. Includes Original B31G (2/3 dL area) and Modified B31G (0.85 dL area). Requires pipe diameter, wall thickness, grade, and MAOP. Standard industry practice for ILI anomaly evaluation.

Level 2

Profile-based (RSTRENG)

Uses the full depth profile of the defect measured at multiple points along the axial length. The RSTRENG effective area method finds the critical sub-length that produces the lowest failure pressure. Least conservative; recovers significant capacity for irregular profiles.

Assessment Level Selection

Criterion Level 0 Level 1 Level 2
Input data required d/t only d, L, D, t, SMYS, MAOP Full depth profile, D, t, SMYS, MAOP
Calculation complexity Table lookup Closed-form equation Iterative (computer-based)
Conservatism Highest Moderate Lowest (most accurate)
Typical use Field screening, preliminary ILI review Standard ILI anomaly evaluation Critical anomalies, dig verification, repair avoidance
When to use Quick pass/fail on shallow anomalies Anomaly fails Level 0 screening Anomaly fails Level 1 or repair is costly

Level 0 Screening Criteria

Level 0 Screening (depth-only): For a pipeline with design factor F = 0.72 (Class 1): If d/t <= 0.20 (20% wall loss): Acceptable at MAOP. No further assessment needed. If 0.20 < d/t <= 0.80: Requires Level 1 or Level 2 assessment. If d/t > 0.80 (80% wall loss): Immediate repair required regardless of defect length. Pipe cannot sustain hoop stress at any practical pressure. For higher design factors (Class 2, 3, 4): The 20% screening threshold becomes more conservative. Class 2 (F=0.60): d/t <= 0.20 still acceptable Class 3 (F=0.50): d/t <= 0.20 still acceptable Class 4 (F=0.40): d/t <= 0.20 still acceptable Note: The 20% threshold assumes that remaining wall at 80% of nominal thickness can sustain MAOP with adequate safety margin for all standard design factor locations.
Assessment escalation: Always start with Level 0 screening to eliminate shallow, non-critical anomalies. Apply Level 1 to anomalies that fail Level 0. Reserve Level 2 (RSTRENG) for anomalies that fail Level 1 but where repair is expensive, operationally difficult, or where the Level 1 conservatism is known to be excessive (e.g., pitting corrosion). This tiered approach optimizes engineering effort and minimizes unnecessary excavations.

4. Key Parameters

Every B31G assessment requires the same fundamental set of input parameters. Understanding each parameter, its source, and its effect on the result is essential for accurate evaluation.

Defect Parameters

Parameter Symbol Units Source Effect on Result
Maximum defect depth d inches (or mm) ILI data, pit gauge, UT measurement Deeper defects produce lower failure pressure; most sensitive parameter
Axial defect length L inches (or mm) ILI data, direct measurement Longer defects increase Folias factor M, reducing failure pressure
Defect depth profile d(x) depth at position x Detailed UT scan or ILI depth profile Used only in Level 2 RSTRENG; provides most accurate area estimate
Depth ratio d/t dimensionless Calculated: d divided by t Primary screening criterion; d/t > 0.80 requires immediate repair

Pipe Parameters

Parameter Symbol Units Source Notes
Outside diameter D inches Pipe specification, field measurement NPS designation; typical range 4" to 48" for transmission
Nominal wall thickness t inches Pipe specification, mill test report Use nominal value; do not subtract mill tolerance unless conservative result is needed
Specified minimum yield strength SMYS psi Pipe specification, API 5L grade Common grades: X42 (42,000), X52 (52,000), X60 (60,000), X65 (65,000), X70 (70,000)

Operating Parameters

Parameter Symbol Units Description
Maximum Allowable Operating Pressure MAOP psig The maximum pressure at which the pipeline is permitted to operate under 49 CFR 192 or 195. Established by the design formula, hydrostatic test, or operating history.
Design factor F dimensionless Class location factor per 49 CFR 192.111: Class 1 = 0.72, Class 2 = 0.60, Class 3 = 0.50, Class 4 = 0.40. Determines the ratio of MAOP to the pipe yield pressure.
Design pressure (yield) P_y psig P_y = (2 x SMYS x t) / D. The pressure at which hoop stress equals SMYS. MAOP = F x P_y for Barlow-based design.

Flow Stress

Flow stress represents the effective stress at which the remaining ligament of corroded pipe yields and begins to bulge outward. It accounts for the fact that pipe steel work-hardens beyond SMYS before reaching ultimate tensile strength (UTS). Different B31G versions use different flow stress definitions:

Flow Stress Definitions: Original B31G: S_flow = 1.1 x SMYS Modified B31G: S_flow = SMYS + 10,000 psi (or SMYS + 68.95 MPa) Comparison for common grades: Grade SMYS (psi) 1.1 x SMYS SMYS + 10 ksi Difference X42 42,000 46,200 52,000 +12.5% X52 52,000 57,200 62,000 +8.4% X60 60,000 66,000 70,000 +6.1% X65 65,000 71,500 75,000 +4.9% X70 70,000 77,000 80,000 +3.9% X80 80,000 88,000 90,000 +2.3% The Modified B31G flow stress (SMYS + 10 ksi) is always higher, producing a higher predicted failure pressure. The difference is most significant for lower-grade pipe.
Parameter sensitivity: The B31G result is most sensitive to defect depth (d/t ratio), followed by defect length (through the Folias factor). A 10% overestimate of defect depth has a greater impact on predicted failure pressure than a 10% overestimate of defect length. This is why ILI tool depth accuracy (typically +/- 10% of wall thickness) is the dominant source of uncertainty in B31G assessments.

5. Original B31G Method

The Original B31G method, first published in 1984, is the simplest closed-form approach for estimating the failure pressure of corroded pipe. It uses a parabolic approximation for the corroded area and a flow stress of 1.1 x SMYS.

Area Approximation

The Original B31G method assumes that the longitudinal cross-section of the corroded area (viewed as a depth profile along the pipe axis) can be approximated by a parabola. This yields a metal loss area of 2/3 of the bounding rectangle (d x L):

Parabolic (2/3 dL) Area Approximation: A_defect = (2/3) x d x L Where: A_defect = Projected area of metal loss in the axial-depth plane d = Maximum defect depth (inches) L = Total axial length of the defect (inches) The full cross-sectional area of the pipe wall at the defect location: A_wall = t x L Area ratio: A_defect / A_wall = (2/3) x (d/t) Physical interpretation: The parabolic shape assumes that the defect is deepest at its center and tapers smoothly to zero depth at both ends. This is a reasonable approximation for general corrosion but overly conservative for pitting where the actual metal loss area is much smaller.

Failure Pressure Equation

Original B31G Failure Pressure: For short defects (L^2 / (D x t) <= 20): P_f = (2 x S_flow x t / D) x [(1 - (2/3)(d/t)) / (1 - (2/3)(d/t)(1/M))] Where: S_flow = 1.1 x SMYS (flow stress) d = Maximum defect depth (inches) t = Nominal wall thickness (inches) D = Outside diameter (inches) M = Folias bulging factor (see Section 7) Folias factor for Original B31G: M = sqrt(1 + 0.8 x (L^2 / (D x t))) Valid for L^2 / (D x t) <= 20 For long defects (L^2 / (D x t) > 20): P_f = (2 x S_flow x t / D) x (1 - d/t) (The defect is treated as infinitely long; Folias factor approaches infinity and the 1/M term approaches zero.) Safe operating pressure: P_safe = P_f / 1.39 (for Class 1, design factor 0.72) The 1.39 factor provides the same safety margin as the original design: 1.0 / 0.72 = 1.39

Step-by-Step Procedure

Original B31G Calculation Steps: Step 1: Gather inputs D = outside diameter (inches) t = nominal wall thickness (inches) SMYS = specified minimum yield strength (psi) d = maximum defect depth (inches) L = axial defect length (inches) MAOP = maximum allowable operating pressure (psig) Step 2: Check depth ratio If d/t > 0.80: Immediate repair required. STOP. If d/t <= 0.10: Acceptable at MAOP. STOP. Step 3: Calculate flow stress S_flow = 1.1 x SMYS Step 4: Calculate L^2 / (D x t) parameter A = L^2 / (D x t) Step 5: Determine Folias factor If A <= 20: M = sqrt(1 + 0.8 x A) If A > 20: M = infinity (use long defect equation) Step 6: Calculate failure pressure If A <= 20: P_f = (2 x S_flow x t / D) x [(1 - (2/3)(d/t)) / (1 - (2/3)(d/t)/M)] If A > 20: P_f = (2 x S_flow x t / D) x (1 - d/t) Step 7: Compare to MAOP If P_f >= 1.39 x MAOP: ACCEPTABLE at current MAOP If P_f < 1.39 x MAOP: REPAIR required or reduce pressure Alternatively: P_safe = P_f / 1.39 If P_safe >= MAOP: ACCEPTABLE If P_safe < MAOP: REPAIR or reduce pressure to P_safe
Conservatism of Original B31G: The Original method is deliberately conservative in two ways: (1) the 2/3 area approximation overestimates metal loss for most real defect profiles, and (2) the 1.1 x SMYS flow stress underestimates the actual failure stress. Industry experience has shown that the Original B31G method can underpredict actual burst pressure by 20-40% for pitting corrosion, leading to unnecessary repairs. This conservatism motivated development of the Modified B31G method.

6. Modified B31G Method

The Modified B31G method (also called the 0.85 dL method) was developed by Kiefner and Vieth in 1989 to reduce the excessive conservatism of the Original method while maintaining adequate safety margins. It uses two key improvements: a less conservative area approximation and a higher flow stress.

Key Improvements Over Original B31G

Area approximation

0.85 dL (rectangular)

Instead of the 2/3 dL parabolic assumption, Modified B31G uses 0.85 dL as the effective corroded area. This is a modified rectangular approximation that more accurately represents typical corrosion profiles based on empirical burst test data.

Flow stress

SMYS + 10,000 psi

The flow stress is increased from 1.1 x SMYS to SMYS + 10,000 psi. This better represents the actual stress at which corroded pipe fails, accounting for strain hardening. Validated against over 150 burst tests.

Folias factor

Improved polynomial

The Folias bulging factor uses a more accurate polynomial expression that extends the valid range beyond L^2/(Dt) = 20, eliminating the discontinuous transition to the "long defect" equation.

Failure Pressure Equation

Modified B31G Failure Pressure: P_f = (2 x S_flow x t / D) x [(1 - 0.85(d/t)) / (1 - 0.85(d/t)(1/M))] Where: S_flow = SMYS + 10,000 psi (flow stress) d = Maximum defect depth (inches) t = Nominal wall thickness (inches) D = Outside diameter (inches) M = Modified Folias bulging factor Modified Folias Factor: For L^2/(D x t) <= 50: M = sqrt(1 + 0.6275 x (L^2/(Dt)) - 0.003375 x (L^2/(Dt))^2) For L^2/(D x t) > 50: M = 0.032 x (L^2/(Dt)) + 3.3 Note: Unlike the Original B31G, there is no abrupt transition to a "long defect" equation. The polynomial smoothly handles all defect lengths.

Comparison: Original vs Modified B31G

Feature Original B31G Modified B31G
Area approximation 2/3 dL (parabolic) 0.85 dL (modified rectangular)
Flow stress 1.1 x SMYS SMYS + 10,000 psi
Folias factor sqrt(1 + 0.8 x L^2/Dt), limited to L^2/Dt <= 20 Polynomial, valid to L^2/Dt = 50+
Long defect handling Abrupt switch to (1-d/t) formula at L^2/Dt = 20 Smooth polynomial transition; linear for L^2/Dt > 50
Typical failure pressure prediction 15-40% below actual burst 5-15% below actual burst
Effect on repair decisions More repairs required (conservative) Fewer unnecessary repairs
Regulatory acceptance 49 CFR 192.485, ASME B31G-2012 49 CFR 192.485, ASME B31G-2012

When to Use Modified vs Original

  • Use Modified B31G when: You want a more accurate (less conservative) result to potentially avoid costly repairs. The Modified method is the standard practice for most pipeline operators and is accepted by PHMSA as equivalent to the Original method.
  • Use Original B31G when: Maximum conservatism is desired, when regulatory or company policy requires the Original method, or for quick conservative screening calculations.
  • Use both methods when: The anomaly is borderline (near the acceptance threshold). If both methods agree the anomaly is acceptable, confidence is high. If the Modified method accepts but the Original rejects, the engineer should consider the specific circumstances and potentially apply Level 2 (RSTRENG).
Industry practice: The Modified B31G method is the de facto standard for routine ILI anomaly evaluation in the midstream and transmission pipeline industry. It offers a good balance between accuracy and conservatism, and its results have been validated against hundreds of full-scale burst tests. The Original B31G is now primarily used for initial screening or by operators with conservative integrity management policies.

7. Folias Bulging Factor

The Folias bulging factor M is the most important geometric parameter in the B31G equation. It accounts for the stress concentration and outward bulging that occurs at a thinned region of pressurized pipe. Understanding M is essential for interpreting B31G results and assessing the effect of defect length on remaining strength.

Physical Meaning

When internal pressure acts on a pipe with a locally thinned wall, the reduced-thickness region experiences higher hoop stress than the surrounding full-thickness pipe. Additionally, the thinned region bulges outward, creating a local deformation that further concentrates stress. The Folias factor quantifies this combined stress magnification effect.

  • M = 1.0: Would correspond to a through-wall slot (no bulging effect) or an infinitely small defect. In practice, M is always greater than 1.0 for finite-length defects.
  • M increases with defect length: Longer defects allow more outward bulging under pressure, increasing the stress concentration. This is why long, shallow corrosion can be more critical than short, deep pitting.
  • M depends on pipe geometry (D and t): Larger diameter pipe with thinner walls (higher D/t ratio) is more susceptible to bulging. The parameter L^2/(Dt) captures this combined effect.

Folias Factor Equations

Original B31G Folias Factor: M = sqrt(1 + 0.8 x (L^2 / (D x t))) Valid for: L^2/(Dt) <= 20 For L^2/(Dt) > 20: M is treated as infinity (long defect) Modified B31G Folias Factor: For L^2/(Dt) <= 50: M = sqrt(1 + 0.6275 x (L^2/(Dt)) - 0.003375 x (L^2/(Dt))^2) For L^2/(Dt) > 50: M = 0.032 x (L^2/(Dt)) + 3.3 Comparison at selected values: L^2/(Dt) Original M Modified M Difference 0 1.000 1.000 0% 1 1.342 1.275 -5% 2 1.612 1.502 -7% 5 2.236 2.004 -10% 10 3.000 2.681 -11% 15 3.606 3.224 -11% 20 4.123 3.676 -11% 30 n/a 4.390 -- 50 n/a 5.387 -- The Modified Folias factor is always lower than the Original, which means the Modified method predicts a higher failure pressure for the same defect dimensions.

Effect of L^2/(Dt) on Remaining Strength

The dimensionless parameter L^2/(Dt) is the single most important variable controlling the Folias factor. It combines defect length, pipe diameter, and wall thickness into one parameter that determines how much the defect weakens the pipe.

L^2/(Dt) M (Modified) Effect Example (24" x 0.375" pipe)
0 - 2 1.0 - 1.5 Minor bulging effect; defect length has small impact L < 4.2 inches
2 - 10 1.5 - 2.7 Moderate bulging; defect length significantly affects result L = 4.2 to 9.5 inches
10 - 20 2.7 - 3.7 Substantial bulging; long defects cause significant strength reduction L = 9.5 to 13.4 inches
20 - 50 3.7 - 5.4 Large bulging effect; approach to long-defect behavior L = 13.4 to 21.2 inches
> 50 > 5.4 Very long defect; nearly equivalent to continuous wall thinning L > 21.2 inches

Practical Implications

  • Short defects (L^2/(Dt) < 4): The Folias factor is relatively small, meaning the defect length has limited impact. The result is dominated by defect depth. Short, deep pits are evaluated primarily by their depth ratio d/t.
  • Long defects (L^2/(Dt) > 20): The Folias factor causes substantial reduction in predicted failure pressure. Even moderate-depth corrosion (d/t = 0.30-0.40) over a long axial extent can require repair. This is why axial grooving is the most critical corrosion morphology.
  • Pipe size effect: For the same defect length L, larger diameter thin-walled pipe has a higher L^2/(Dt) and therefore a higher Folias factor. A 6-inch long defect on 36" x 0.312" pipe (L^2/(Dt) = 3.2, M = 1.68) is more critical than the same defect on 12" x 0.375" pipe (L^2/(Dt) = 8.0, M = 2.39). Wait -- the 12-inch pipe has the higher L^2/(Dt). This is because smaller diameter pipe has a lower Dt product, making any given defect length relatively more significant.
Key insight: The Folias factor is why defect length matters in B31G. Without the bulging effect, a corroded pipe segment would fail at the same pressure regardless of defect length (as long as depth is the same). The M factor captures the reality that pressurized pipe with a long thinned region experiences stress intensification due to outward bulging, which becomes more severe as the defect length increases relative to the pipe geometry.

8. RSTRENG Effective Area Method

The RSTRENG (Remaining Strength) effective area method is a Level 2 assessment that uses the full depth profile of the corrosion defect rather than just the maximum depth and overall length. It finds the critical sub-length within the defect that produces the lowest predicted failure pressure, eliminating the conservatism inherent in using maximum depth over the entire defect length.

Concept: River-Bottom Profile

The effective area method discretizes the corrosion defect into a series of depth readings along the axial direction. The depth profile is measured at regular intervals (typically every 0.5 to 1.0 inch) from one end of the defect to the other. This profile represents the maximum depth at each axial location, analogous to following the deepest path along a river bottom.

RSTRENG Effective Area Procedure: Step 1: Measure the depth profile Record depth measurements d_1, d_2, ..., d_n at n equally spaced points along the axial length of the defect. Spacing: delta_x (typically 0.5" to 1.0") Total length: L = (n-1) x delta_x Step 2: For every possible sub-length, calculate failure pressure For each starting point i (from 1 to n): For each ending point j (from i to n): Sub-length: L_ij = (j - i) x delta_x Metal loss area: A_ij = delta_x x SUM(d_k) for k = i to j Wall area: A_wall_ij = t x L_ij Folias factor: M_ij = f(L_ij, D, t) P_f_ij = (2 x S_flow x t / D) x [(1 - A_ij/(t x L_ij)) / (1 - (A_ij/(t x L_ij)) / M_ij)] Step 3: Find the minimum failure pressure P_f = MIN(P_f_ij) over all valid (i, j) combinations This minimum corresponds to the "critical sub-length" that controls the failure of the defect. Step 4: Compare P_f to MAOP Same acceptance criteria as Level 1 methods.

Why RSTRENG Recovers Pressure Capacity

Level 1 methods (Original and Modified B31G) assume that the maximum depth d applies uniformly across the entire defect length L. For defects with irregular profiles -- especially pitting corrosion where deep pits are surrounded by shallower wall loss -- this assumption is very conservative.

Example: Pitting corrosion profile Consider a 12-inch long corroded region on 24" x 0.375" pipe: Position (in): 0 1 2 3 4 5 6 7 8 9 10 11 12 Depth (in): .02 .05 .08 .22 .23 .08 .04 .06 .20 .21 .05 .03 .01 Maximum depth: d = 0.23 inches (at position 4") Overall length: L = 12 inches Level 1 (Modified B31G): Uses d = 0.23" over L = 12" A_defect = 0.85 x 0.23 x 12 = 2.346 in^2 Actual metal loss area = sum of all depths x 1" = 0.98 in^2 Level 1 overestimates metal loss by 2.4x RSTRENG (Level 2): Evaluates every sub-length combination Critical sub-length might be positions 3-4 (L = 2"): A = 0.22 + 0.23 = 0.45 in^2 over L = 2" Or positions 8-9 (L = 2"): A = 0.20 + 0.21 = 0.41 in^2 over L = 2" The short critical sub-length has a much lower Folias factor than the full 12" length, resulting in a significantly higher predicted failure pressure. Typical result: RSTRENG predicts 25-40% higher failure pressure than Level 1 for pitting corrosion.

When RSTRENG Provides the Most Benefit

Defect Profile Level 1 vs Level 2 Difference RSTRENG Benefit
Uniform general corrosion (flat depth profile) Small (5-10%) Minimal - Level 1 area assumption is reasonable
Single deep pit with shallow surroundings Large (25-40%) Significant - the critical sub-length is much shorter than overall L
Multiple separated pits within one ILI indication Large (20-35%) Significant - RSTRENG evaluates each pit cluster independently
Axial groove with uniform depth Small (5-15%) Moderate - area is reasonably approximated by Level 1
Tapered corrosion (gradually increasing then decreasing depth) Moderate (10-20%) Moderate - depends on how sharply the depth varies

Practical Considerations

  • Data source: RSTRENG requires detailed depth profile data. This can come from UT grid scans during excavation, high-resolution ILI data (modern MFL and UT tools report depth profiles), or laser scanning of exposed corrosion during bell-hole examinations.
  • Measurement spacing: Closer spacing (0.5 inch or less) provides more accurate results but requires more data. For most applications, 1-inch spacing is adequate. Spacing greater than 2 inches may miss critical features.
  • Computational requirement: For n measurement points, RSTRENG evaluates n(n+1)/2 sub-length combinations. For a 24-inch defect with 0.5-inch spacing (n = 49 points), this is 1,225 evaluations -- trivial for a computer but impractical by hand.
  • Software: The original RSTRENG software was developed by Kiefner and Associates. Several commercial pipeline integrity management software packages now include RSTRENG or equivalent effective area calculations.
Cost-benefit consideration: RSTRENG Level 2 assessment requires more detailed data (excavation or high-resolution ILI) and engineering effort, but can prevent unnecessary repairs. For a typical pipeline repair costing $50,000 to $200,000 or more, the engineering cost of a Level 2 assessment (a few hours of analysis) is negligible. Always consider RSTRENG when a Level 1 assessment indicates repair for pitting corrosion or irregular profiles.

9. Acceptance Criteria

The B31G assessment produces a predicted failure pressure P_f. To determine whether the corroded pipe segment can remain in service, this failure pressure must be compared to the MAOP using appropriate safety factors defined by regulation and the applicable code.

49 CFR 192.485 Requirements

For gas pipelines regulated under 49 CFR Part 192, Section 192.485 prescribes the criteria for evaluating pipe with corrosion metal loss discovered during integrity assessments:

49 CFR 192.485 Acceptance Criteria: A corroded pipe segment is ACCEPTABLE if the predicted failure pressure P_f satisfies: P_f >= 1.0 / F x MAOP Where F = class location design factor: Class 1: F = 0.72, so P_f >= 1.39 x MAOP Class 2: F = 0.60, so P_f >= 1.67 x MAOP Class 3: F = 0.50, so P_f >= 2.00 x MAOP Class 4: F = 0.40, so P_f >= 2.50 x MAOP Equivalently, the safe operating pressure is: P_safe = P_f x F The corroded segment is ACCEPTABLE if P_safe >= MAOP. Response timeline (immediate conditions): - d/t > 80%: Immediate action (pressure reduction or repair) - Predicted failure pressure < 1.1 x MAOP: 180-day response - Predicted failure pressure < safety factor x MAOP: Scheduled repair Note: Specific response timelines depend on the integrity management program, threat type, and HCA proximity.

Acceptance Decision Matrix

Condition Action Required Timeline
P_f >= (1/F) x MAOP Acceptable at current MAOP. Document and monitor. No immediate action; re-assess at next integrity interval.
MAOP < P_f < (1/F) x MAOP The pipe will not fail at MAOP but does not have the full design safety margin. Evaluate using Modified B31G or RSTRENG Level 2 if Original was used. Consider remediation at next opportunity. Remediate within scheduled maintenance window or next planned excavation.
1.1 x MAOP < P_f < MAOP Predicted failure pressure is above MAOP but margin is small. Reduce pressure or repair. Within 180 days per integrity management program.
P_f < 1.1 x MAOP Immediate condition. Reduce pressure to safe level or repair immediately. Immediate (within days); pressure reduction while planning repair.
d/t > 80% Immediate repair regardless of calculated failure pressure. Wall is critically thin. Immediate.

Repair Methods

When a corrosion anomaly does not meet acceptance criteria, several repair methods are available:

  • Full-encirclement steel sleeve (Type B): A pressure-containing steel sleeve welded over the corroded area. This is the most common permanent repair for transmission pipelines. The sleeve restores the pressure capacity of the pipe regardless of the corrosion severity beneath it.
  • Composite wrap repair: Fiberglass or carbon fiber composite material wrapped around the corroded section and cured in place. Suitable for corrosion up to approximately 80% wall loss. Lower cost than steel sleeves but has a finite service life (typically 20-50 years).
  • Pipe replacement (cut-out): Removing the corroded section and welding in a new pipe segment. The most definitive repair but requires a pipeline shutdown unless hot tapping and plugging are used.
  • Pressure reduction: Reducing MAOP to a level where the corroded segment meets acceptance criteria. Used as a temporary measure while planning permanent repair, or as a permanent solution for low-criticality locations.
  • Grinding (for shallow defects): Mechanical removal of corrosion products and blending the pit profile to reduce stress concentration. Only applicable for very shallow defects (d/t < 12.5% for some operators) and requires verification that the ground profile does not create a new stress riser.
Documentation requirement: All B31G assessments must be documented as part of the operator's integrity management records. This includes the input parameters (defect dimensions, pipe properties, MAOP), the method used (Original B31G, Modified B31G, or RSTRENG), the calculated failure pressure, the acceptance decision, and any actions taken. These records are subject to PHMSA audit and must be retained for the life of the pipeline.

10. Worked Examples

The following examples demonstrate the complete B31G calculation procedure for a typical transmission pipeline anomaly, using both the Original and Modified methods.

Example Problem Setup

Given Information: Pipe: Outside diameter: D = 24 inches (NPS 24) Wall thickness: t = 0.375 inches (standard weight) Grade: API 5L X52 (SMYS = 52,000 psi) Class location: Class 1 (F = 0.72) Operating: MAOP = 1,000 psig Defect (from ILI report): Maximum depth: d = 0.150 inches Axial length: L = 8.0 inches Location: 6 o'clock (bottom of pipe), external Preliminary checks: d/t = 0.150 / 0.375 = 0.400 (40% wall loss) Since 0.20 < d/t <= 0.80: Level 1 assessment required L^2/(Dt) = 64 / (24 x 0.375) = 64 / 9.0 = 7.11

Example 1: Original B31G Method

Original B31G Calculation: Step 1: Flow stress S_flow = 1.1 x SMYS = 1.1 x 52,000 = 57,200 psi Step 2: Folias factor (L^2/(Dt) = 7.11 <= 20, so use standard formula) M = sqrt(1 + 0.8 x 7.11) M = sqrt(1 + 5.689) M = sqrt(6.689) M = 2.586 Step 3: Area terms (2/3)(d/t) = (2/3)(0.400) = 0.2667 (2/3)(d/t)(1/M) = 0.2667 / 2.586 = 0.1031 Step 4: Failure pressure P_f = (2 x 57,200 x 0.375 / 24) x [(1 - 0.2667) / (1 - 0.1031)] P_f = 1,787.5 x [0.7333 / 0.8969] P_f = 1,787.5 x 0.8177 P_f = 1,461.6 psig Step 5: Acceptance check Required: P_f >= (1/0.72) x MAOP = 1.389 x 1,000 = 1,389 psig Actual: P_f = 1,462 psig 1,462 > 1,389 --> ACCEPTABLE by Original B31G Safe operating pressure: P_safe = 1,462 x 0.72 = 1,052 psig Since 1,052 > 1,000 (MAOP): ACCEPTABLE

Example 2: Modified B31G Method

Modified B31G Calculation: Step 1: Flow stress S_flow = SMYS + 10,000 = 52,000 + 10,000 = 62,000 psi Step 2: Folias factor (L^2/(Dt) = 7.11 <= 50) M = sqrt(1 + 0.6275 x 7.11 - 0.003375 x 7.11^2) M = sqrt(1 + 4.461 - 0.171) M = sqrt(5.291) M = 2.300 Step 3: Area terms 0.85(d/t) = 0.85 x 0.400 = 0.340 0.85(d/t)/M = 0.340 / 2.300 = 0.1478 Step 4: Failure pressure P_f = (2 x 62,000 x 0.375 / 24) x [(1 - 0.340) / (1 - 0.1478)] P_f = 1,937.5 x [0.660 / 0.8522] P_f = 1,937.5 x 0.7746 P_f = 1,500.8 psig Step 5: Acceptance check Required: P_f >= 1.389 x 1,000 = 1,389 psig Actual: P_f = 1,501 psig 1,501 > 1,389 --> ACCEPTABLE by Modified B31G Safe operating pressure: P_safe = 1,501 x 0.72 = 1,081 psig Since 1,081 > 1,000 (MAOP): ACCEPTABLE

Comparison of Results

Parameter Original B31G Modified B31G Difference
Flow stress (psi) 57,200 62,000 +8.4%
Folias factor M 2.586 2.300 -11.1%
Predicted failure pressure (psig) 1,462 1,501 +2.7%
Safe operating pressure (psig) 1,052 1,081 +2.8%
Margin above MAOP +52 psig (5.2%) +81 psig (8.1%) --
Acceptance decision ACCEPTABLE ACCEPTABLE Both pass

Example 3: Deeper Defect Requiring Repair

Same pipe, deeper defect: Defect: d = 0.250 inches, L = 10.0 inches d/t = 0.250 / 0.375 = 0.667 (66.7% wall loss) L^2/(Dt) = 100 / 9.0 = 11.11 Modified B31G: S_flow = 62,000 psi M = sqrt(1 + 0.6275 x 11.11 - 0.003375 x 11.11^2) M = sqrt(1 + 6.971 - 0.417) = sqrt(7.554) = 2.749 0.85(d/t) = 0.85 x 0.667 = 0.567 0.85(d/t)/M = 0.567 / 2.749 = 0.2063 P_f = 1,937.5 x [(1 - 0.567) / (1 - 0.2063)] P_f = 1,937.5 x [0.433 / 0.7937] P_f = 1,937.5 x 0.5456 P_f = 1,057.1 psig Acceptance check: Required: P_f >= 1,389 psig Actual: P_f = 1,057 psig 1,057 < 1,389 --> NOT ACCEPTABLE by Modified B31G Safe operating pressure: P_safe = 1,057 x 0.72 = 761 psig 761 < 1,000 (MAOP) Action required: Option 1: Repair the anomaly (sleeve or composite wrap) Option 2: Reduce MAOP to 761 psig Option 3: Perform RSTRENG Level 2 assessment if profile data is available (may recover pressure capacity if the defect is pitting rather than uniform)
Example takeaway: In this comparison, the first defect (d/t = 40%, L = 8") passes both methods with margin to spare. The second defect (d/t = 67%, L = 10") fails by both methods. When an anomaly is borderline, the Modified B31G typically provides 2-10% more pressure capacity than the Original method, which can make the difference between a repair and an acceptance. For deeper defects, both methods converge toward similar results because the area approximation difference becomes less significant as d/t approaches 0.80.

11. Limitations

ASME B31G is a powerful and widely-used tool, but it has specific limitations that must be understood to avoid misapplication. Using B31G outside its valid scope can produce unconservative (dangerous) or excessively conservative results.

Defect Types NOT Covered by B31G

Defect Type Why B31G Does Not Apply Recommended Method
Stress corrosion cracking (SCC) B31G assumes volumetric metal loss. Cracks have sharp tips with stress intensity factors that B31G does not account for. Crack-like defects fail by fracture, not plastic collapse. API 579 Part 9, ASME B31.8S Appendix A3, fracture mechanics (K_IC / CTOD analysis)
Dents and mechanical damage Dents involve plastic deformation and residual stress that alter the pipe's capacity in ways not captured by the B31G metal loss model. Dents with metal loss are particularly dangerous. ASME B31.8 Appendix R, API 1160, strain-based analysis, PRCI dent assessment methods
Seam weld defects B31G was derived from burst tests on pipe body defects. Seam welds may have different material properties (lower toughness) and pre-existing manufacturing defects that change the failure mode. API 579, PRCI seam weld assessment methods, fracture mechanics for low-toughness seam welds (ERW, flash weld, lap weld)
Girth weld defects Girth welds experience bending and axial stresses that B31G does not consider. The failure mode for girth weld defects is different from pipe body corrosion. API 1104, BS 7910, ECA (engineering critical assessment)
Fatigue cracks Fatigue cracks grow under cyclic loading. B31G evaluates static burst pressure only and cannot predict remaining fatigue life or crack growth rate. BS 7910, API 579 Part 9, Paris law fatigue crack growth analysis
Selective seam corrosion Preferential corrosion along or within the seam weld combines metal loss with potentially reduced seam weld toughness. B31G does not account for the seam weld material properties. Hydrostatic testing, API 579, operator-specific assessment procedures

Geometric Limitations

  • Interacting defects: B31G evaluates individual, isolated defects. When multiple defects are close together (axial spacing less than 3t or circumferential overlap), they may interact and behave as a single larger defect. Interaction rules must be applied before the B31G calculation. Failure to account for interaction can produce unconservative results.
  • Circumferential extent: B31G assumes that the defect is narrow relative to the pipe circumference. For very wide defects spanning a significant fraction of the circumference, the axial stress (which is half the hoop stress under internal pressure) may become the controlling failure mode. B31G does not evaluate circumferential failure.
  • Complex shapes: B31G assumes a simple axial defect profile. Defects with complex three-dimensional geometry (multiple pits, spiral patterns, branching corrosion) may require finite element analysis (FEA) for accurate assessment.
  • Wall thickness variations: B31G uses a single nominal wall thickness. If the pipe has significant wall thickness variation due to manufacturing tolerance or prior general corrosion, the assessment should use the measured wall thickness at the defect location rather than the nominal value.

Loading Limitations

  • Internal pressure only: B31G considers failure due to internal pressure (hoop stress) only. It does not account for external loads such as soil loading, thermal expansion, settlement, landslide forces, or seismic loading. Pipe segments subject to significant external loads may require a combined loading assessment per API 579 or finite element analysis.
  • Static loading: B31G predicts burst pressure under static (monotonically increasing) internal pressure. It does not predict behavior under cyclic pressure loading (fatigue) or dynamic loading (pressure surge, water hammer). Pipelines with significant pressure cycling may require fatigue life assessment in addition to B31G.
  • Temperature: B31G uses room-temperature material properties. For pipelines operating at elevated temperatures (above 250 degF) or very low temperatures (below -20 degF), temperature-adjusted material properties should be used.

Material Limitations

  • Carbon and low-alloy steel only: B31G was developed and validated for carbon steel and low-alloy steel pipe manufactured to API 5L specifications. It should not be applied to stainless steel, duplex steel, clad pipe, or non-metallic pipe without engineering justification.
  • Grade range: The burst test database used to validate B31G covered grades from Grade B (SMYS = 35,000 psi) through X65 (SMYS = 65,000 psi). Application to higher grades (X70, X80, X100) requires caution because the flow stress assumptions may not be valid for high-strength steels with lower strain-hardening ratios.
  • Toughness assumed adequate: B31G assumes that the pipe steel has sufficient toughness to fail by plastic collapse (ductile failure) rather than brittle fracture. For vintage pipe with low Charpy toughness (pre-1970 pipe, especially ERW pipe), a fracture mechanics assessment may be more appropriate.
Critical warning: Never apply B31G to crack-like defects (SCC, fatigue cracks, seam weld cracks). B31G assumes plastic collapse failure mode and does not account for the stress intensity at crack tips. Applying B31G to cracks can produce dangerously unconservative results. Always verify that the defect is volumetric metal loss (corrosion) before using B31G.