PEC EPE Geological study materials
PEC EPE Geological study resources

PEC EPE Geological cheat sheet

PEC EPE Geological · Keep the key ideas within reach.

Quick reference

Geological Engineering: Rock Mass, Structure, and Site Characterization

  • Rock mass rating inputs: uniaxial compressive strength, RQD, joint spacing, joint condition, groundwater condition, and joint orientation adjustment; each parameter is scored then summed.

  • RQD = (sum of core lengths ≥100 mm / total run length) × 100%; use double-tube coring and count only intact, natural breaks - drilling-induced fractures are excluded.

  • Mohr–Coulomb failure envelope: τ = c + σn·tanφ. Effective stress parameters c′ and φ′ apply to drained/slow loading; total stress parameters apply to undrained/rapid loading in low-permeability rock or soil.

  • Hoek–Brown criterion for jointed rock: σ1′ = σ3′ + σci·(mb·σ3′/σci + s)^a, where mb, s and a derive from GSI, disturbance factor D, and intact rock constant mi.

  • Geological strength index (GSI) is estimated from rock mass structure (blockiness, interlocking) and joint surface condition (roughness, alteration); GSI is not a direct measurement.

  • Discontinuity orientation controls failure mode: planar sliding requires a joint dipping out of the slope at an angle less than the slope face angle but greater than the friction angle; wedge failure requires two intersecting sets.

  • Stereographic projection: plot poles to discontinuities; a great circle through poles indicates a joint set. Use lower-hemisphere equal-area (Schmidt) nets for density analysis, equal-angle for angular relations.

  • Site investigation hierarchy: desk study and remote sensing → mapping and geophysics → boreholes with in-situ testing → laboratory testing; ground model is updated iteratively as data accumulate.

Quick reference

Geological Engineering: Hydrogeology, Ground Improvement, and Slope Stability

  • Darcy's law: Q = k·i·A; hydraulic gradient i = Δh/L. Lugeon test (packer test) expresses rock mass permeability in Lugeon units; 1 Lu ≈ 1 L/min per metre at 1 MPa.

  • Effective stress principle: σ′ = σ − u. Reducing pore pressure by dewatering increases effective stress and shear strength, but may cause settlement or induce subsidence in compressible strata.

  • Factor of safety for a planar slope failure: FS = [c·A + (W·cosψ − u·A)·tanφ] / (W·sinψ), where ψ is the dip of the failure plane and A the plane area.

  • Infinite slope with seepage parallel to ground surface: FS = [c′ + (γ − m·γw)·z·cos²β·tanφ′] / (γ·z·sinβ·cosβ), where m is the saturated fraction of the slope-normal depth.

  • Ground improvement selection: grouting for void filling and permeability reduction in rock; jet grouting and deep soil mixing for cohesive soils; vibro-compaction for loose granular soils; stone columns for soft clays and silts.

  • Rock mass classification for tunnel support: RMR and Q-system (Q = (RQD/Jn)·(Jr/Ja)·(Jw/SRF)) are used to select support; Q is more sensitive to joint roughness and stress conditions.

  • Landslide hazard assessment requires identification of the slip surface geometry (circular, planar, wedge, toppling) and the controlling groundwater regime, not just the slope angle.

Quick reference

Geological Engineering: Engineering Geology of Soils, Rock, and Construction Materials

  • Atterberg limits define soil consistency: liquid limit (LL), plastic limit (PL), plasticity index PI = LL − PL; a high PI indicates high compressibility and volume change potential.

  • Soil classification: USCS uses grain size (gravel >4.75 mm, sand 0.075–4.75 mm, fines <0.075 mm) and plasticity; AASHTO classification is based on grain size, LL, and PI for subgrade evaluation.

  • Consolidation: coefficient of consolidation cv from the time-settlement curve (log-time or square-root-time method); primary consolidation settlement Sc = Cc·H·log10((σ0′+Δσ)/σ0′)/(1+e0).

  • Shear strength of saturated clays: undrained shear strength su from UU triaxial or vane tests; effective stress parameters from CU tests with pore pressure measurement or CD tests.

  • Rock durability: slake durability index (two-cycle) and Los Angeles abrasion value assess aggregate quality; soundness test (sodium/magnesium sulfate) indicates resistance to freeze-thaw and wetting-drying.

  • Weathering grade classification (I–VI, fresh to residual soil) governs the engineering behavior of rock masses; grade V and VI materials behave as soils and are tested accordingly.

  • Construction materials assessment includes source rock petrography, potential alkali-silica reactivity (ASR) testing, sulfate content, and chloride content for concrete aggregate suitability.

Quick reference

Geological Engineering: Structural Geology, Tectonics, and Seismicity

  • Fault classification by slip: normal (extension, σ1 vertical), reverse/thrust (compression, σ3 vertical), strike-slip (σ2 vertical); Anderson's theory relates fault type to principal stress orientation.

  • Fault activity assessment for engineering: consider recency of movement, recurrence interval, slip rate, and proximity to the site; active faults require setback distances and site-specific seismic hazard analysis.

  • Earthquake magnitude: moment magnitude Mw = (2/3)·log10(M0) − 6.07, where M0 is seismic moment in N·m; Mw is preferred for engineering because it does not saturate at large rupture sizes.

  • Ground motion attenuation: peak ground acceleration (PGA) decreases with distance from the source and is amplified by soft soils; site class (A–E) modifies design spectra in codes.

  • Liquefaction susceptibility: saturated loose sands and silts below the water table, with low plasticity and shallow depth; evaluate using SPT (N1)60, CPT, and shear wave velocity, compared against cyclic stress ratio.

  • Fold geometry: anticline (older rocks in core), syncline (younger rocks in core); fold hinge and limb orientation affect bedding plane stability in slopes and tunnels.

  • In-situ stress measurement: overcoring, hydraulic fracturing, and borehole breakouts determine the stress tensor; the ratio of horizontal to vertical stress (K) influences tunnel and shaft stability.

Quick reference

Geological Engineering: Geological Hazards, Mapping, and Reporting

  • Landslide classification by movement type: fall, topple, slide (rotational/translational), spread, and flow; each has distinct velocity and warning characteristics relevant to mitigation design.

  • Rockfall hazard: assess block size, slope height, and talus angle; mitigation options include rock bolts, mesh, catch fences, and barriers, selected by trajectory analysis.

  • Karst terrain: dissolution features (sinkholes, caves, dolines) create high permeability and collapse risk; investigation includes geophysics (electrical resistivity, GPR) and drilling.

  • Subsidence mechanisms: groundwater withdrawal, mining, and dissolution; monitoring via InSAR, extensometers, and leveling; prediction requires compressibility and extraction data.

  • Geological mapping deliverables: geological map with cross-sections, engineering geological map showing units by engineering behavior, and a ground model report with parameters and uncertainties.

  • Geophysical methods: seismic refraction for depth to bedrock and rippability; electrical resistivity for groundwater and contamination; GPR for shallow utilities and voids; each has depth and resolution limits.

  • Uncertainty communication: report ranges and confidence levels for geotechnical parameters; a single 'design value' without stated basis is not acceptable practice in geological engineering reporting.

Quick reference

Geological Engineering: Design Parameters, Testing, and Quality Control

  • SPT N-value correction: (N1)60 = N·CN·CE·CB·CR·CS, where CN corrects for overburden; SPT is not suitable for gravels or rock, and results are equipment-dependent.

  • CPT interpretation: cone resistance qc, sleeve friction fs, and pore pressure u2 give soil behavior type (SBT) via normalized charts; CPT is continuous and repeatable but cannot sample.

  • Plate load test: determines in-situ bearing capacity and settlement modulus; the test plate size affects results - scale effects mean results are conservative for full-size footings.

  • Pressuremeter and dilatometer tests provide in-situ modulus and lateral stress; they are useful in soft soils and for settlement prediction where sampling disturbs the material.

  • Rock core logging: record recovery, RQD, fracture index, weathering, and joint condition; core orientation is needed to measure true dip and dip direction of discontinuities.

  • Permeability testing: constant-head and falling-head tests in boreholes; packer tests in rock; pumping tests for aquifer parameters (transmissivity, storativity).

  • Quality control for earthworks: compaction to specified dry density and moisture content relative to maximum dry density (Standard or Modified Proctor), verified by field density tests.

Quick reference

Geological Engineering: Foundation and Excavation Considerations

  • Bearing capacity: Terzaghi/Meyerhof equations give ultimate bearing capacity qu = c·Nc + q·Nq + 0.5·γ·B·Nγ; apply a factor of safety (typically 2.5–3) to obtain allowable bearing pressure.

  • Settlement components: immediate (elastic), primary consolidation, and secondary (creep); total settlement must be checked against serviceability limits, not just bearing capacity.

  • Deep foundations: pile capacity from static formulas (α, β methods) or dynamic testing (PDA, CAPWAP); rock sockets rely on side shear and end bearing in the rock mass.

  • Excavation support: braced cuts, sheet piles, secant piles, and soil nails; design considers earth pressure, groundwater, and adjacent structures; monitoring of wall deflection is essential.

  • Slope stabilization methods: regrading, drainage, retaining structures, soil nails, rock bolts, and vegetation; drainage is usually the most cost-effective measure.

  • Tunneling in rock: stand-up time depends on rock mass quality; sequential excavation and support (NATM) uses monitoring to adapt support to observed behavior.

  • Groundwater control during excavation: sumps and ditches for shallow, low-permeability conditions; deep wells for high-permeability granular soils; cut-off walls for contaminated or high-inflow sites.

Quick reference

Geological Engineering: Professional Practice and Reporting Standards

  • Geotechnical report structure: scope, site description, geology, investigation methods, ground model, design parameters with justification, conclusions, and limitations.

  • Parameter selection: report characteristic values (e.g., 5th percentile for strength) and state the basis; distinguish between measured, correlated, and assumed values.

  • Codes and standards: reference the applicable local code (e.g., Eurocode 7, AASHTO LRFD, or national building code) for partial factors and design approaches; do not mix code philosophies.

  • Risk assessment: identify geohazards (slope instability, liquefaction, karst, subsidence) and rate likelihood and consequence; mitigation design follows the risk ranking.

  • Monitoring plans: specify instrumentation (inclinometers, piezometers, settlement plates, crack gauges), trigger levels, and response actions before construction begins.

  • Peer review and verification: independent check of ground model and design parameters reduces the risk of systematic error; document assumptions and their sensitivity.

  • Data management: maintain a borehole database with coordinates, elevations, and test results; spatial interpolation (e.g., kriging) supports the ground model but must not replace engineering judgment.

Quick reference

Geological Engineering: Rock Mechanics Testing and Classification

  • Uniaxial compressive strength (UCS) test on intact rock core: ISRM standard uses length-to-diameter ratio of 2–3; correct for size and shape effects when comparing results.

  • Point load index (Is50) correlates with UCS: UCS ≈ 22–24 × Is50 for many rocks; the correlation is rock-type dependent and should be verified with direct tests.

  • Brazillian (indirect tensile) test gives tensile strength; direct shear test on joints gives joint cohesion and friction angle for discontinuities.

  • Rock mass classification: RMR (Bieniawski) ranges 0–100; Q-system gives Q values; both are empirical and should be used with local experience and calibration.

  • GSI-based Hoek–Brown parameters: for GSI > 25, a = 0.5; for GSI < 25, a depends on GSI; mb = mi·exp((GSI−100)/(28−14D)).

  • Rock bolt design: length should extend beyond the failure zone; spacing and pattern depend on joint orientation and block size; fully grouted bolts transfer load along the bond length.

  • Slake durability and swelling tests identify rocks prone to deterioration on exposure; these affect excavation support and slope design in mudstones and shales.

Quick reference

Geological Engineering: Groundwater and Contaminant Transport

  • Aquifer parameters: transmissivity T = k·b (b = saturated thickness); storativity S from pumping test analysis (Theis, Cooper-Jacob); these govern yield and drawdown predictions.

  • Theis equation: s = (Q/(4πT))·W(u), where u = r²S/(4Tt); Cooper-Jacob approximation applies for small u (large time or small radius).

  • Contaminant transport: advection, dispersion, diffusion, sorption (retardation factor R), and decay; the advection-dispersion equation is the basis for plume prediction.

  • Retardation factor R = 1 + (ρb/θ)·Kd, where Kd is the distribution coefficient; higher R means slower contaminant migration relative to groundwater.

  • Groundwater monitoring: install wells with proper screen intervals and seals; sample after purging; analyze for parameters consistent with the contaminant of concern.

  • Saltwater intrusion: Ghyben-Herzberg relation gives freshwater-saltwater interface depth; over-abstraction in coastal aquifers causes intrusion and requires management.

  • Dewatering design: estimate inflow using analytical methods (e.g., Dupuit) and verify with pumping tests; consider impacts on adjacent wells, wetlands, and subsidence.

Quick reference

Geological Engineering: Case-Based Decision Rules and Common Pitfalls

  • If a slope failure occurs along a pre-existing joint, the joint shear strength (c, φ) controls the analysis, not the intact rock strength; back-analysis of the failure gives the operative strength parameters.

  • If groundwater is encountered above the expected level, re-evaluate effective stress, slope stability, and excavation support; do not simply increase the factor of safety without understanding the cause.

  • If SPT N-values are low in gravelly soils, the values may reflect gravel interference, not loose soil; use CPT or large-diameter samplers for verification.

  • If rock core recovery is low but RQD is high, check for drilling-induced breakage or core loss in weak zones; recovery and RQD together indicate rock mass quality.

  • If a site is underlain by karst, do not rely on a single borehole to rule out voids; use geophysics and multiple boreholes, and design foundations to span or bridge potential voids.

  • If a retaining wall shows increasing lateral deflection, check for water pressure buildup behind the wall; drainage is often the missing element in the design.

  • If liquefaction is suspected, check the groundwater level, soil gradation, and plasticity; mitigation options include densification, drainage, and ground improvement, not just increased foundation depth.

Quick reference

Geological Engineering: Units, Conversions, and Sign Conventions

  • Stress units: 1 MPa = 10 bar = 1000 kPa; 1 kPa = 1 kN/m²; unit weight of water γw ≈ 9.81 kN/m³; unit weight of rock typically 24–27 kN/m³.

  • Permeability units: 1 m/s = 1000 mm/s; hydraulic conductivity in soils ranges from ~10⁻¹ m/s (gravel) to <10⁻⁹ m/s (clay); 1 Darcy ≈ 9.87×10⁻¹³ m² for intrinsic permeability.

  • Angle conventions: dip is measured from horizontal (0–90°); dip direction is azimuth clockwise from north; a plane dipping 30° toward 120° is written 120/30.

  • Stress sign convention: compression positive in rock mechanics; tension positive in some soil mechanics texts - state the convention explicitly in calculations.

  • Strain units: strain is dimensionless; express as percentage or microstrain (10⁻⁶); modulus E = Δσ/Δε in MPa or GPa.

  • Seismic units: PGA in g or m/s²; 1 g ≈ 9.81 m/s²; magnitude is dimensionless; intensity scales (MMI) are descriptive, not physical measurements.

  • Time units: consolidation time in seconds or years; 1 year ≈ 3.15×10⁷ s; convert consistently when using cv in m²/year versus m²/s.

Quick reference

Geological Engineering: Investigation Planning and Sampling

  • Borehole layout: space boreholes to characterize the site and target critical structures; deepen boreholes below the zone of influence (typically 1.5–2 times the foundation width below the base).

  • Sampling disturbance: use thin-walled Shelby tubes for soft clays; split-spoon samples are disturbed and suitable for classification, not strength testing; preserve samples and test promptly.

  • Drilling methods: auger for shallow soils; rotary wash boring for deeper soils and rock; core drilling with appropriate bit and drilling fluid for rock; record drilling fluid loss as an indicator of permeability.

  • Geophysical logging: caliper, gamma, resistivity, and borehole camera logs complement core; they identify fractures, voids, and lithology changes between samples.

  • Field vane shear test: suitable for soft to medium clays; correct for plasticity and time effects; not suitable for sandy or gravelly soils.

  • In-situ stress and permeability testing require careful sealing and stabilization; packer tests should be run at multiple pressures to assess flow regime (laminar vs turbulent).

  • Sample labeling and chain of custody: record depth, recovery, moisture, and testing schedule; sample quality affects the reliability of design parameters.

Quick reference

Geological Engineering: Rock Slope and Tunnel Stability

  • Kinematic analysis: use stereonets to check for planar, wedge, and toppling failure; a joint set with poles plotting near the slope face great circle indicates potential planar sliding.

  • Plane failure condition: joint dip direction within ±20° of slope dip direction, joint dip less than slope dip, and joint dip greater than friction angle.

  • Wedge failure: intersection line of two joint sets must daylight in the slope face and plunge greater than the friction angle; stability depends on the wedge volume and water pressure.

  • Toppling: requires steeply dipping joints (dip > ~70°) dipping into the slope, with joint spacing less than the block height; flexural toppling is common in foliated rock.

  • Tunnel support in squeezing ground: use yielding support and sequential excavation; in rockburst-prone ground, use rock bolts, mesh, and energy-absorbing support.

  • Rock mass quality for TBM: RMR and Q predict penetration rate and support; abrasive minerals (quartz content) affect cutter wear.

  • Slope monitoring: prisms, inclinometers, and crack gauges detect movement; set alert and alarm thresholds based on velocity and acceleration trends.

Quick reference

Geological Engineering: Soil and Rock Description and Logging

  • Soil description order: consistency/density, moisture, color, grain size, plasticity, structure, and origin; use standard terms and include depth intervals.

  • Rock description: strength (field estimate), weathering grade, discontinuity spacing, aperture, infilling, and roughness; record both core and exposure observations.

  • Weathering grades: I fresh, II slightly weathered, III moderately weathered, IV highly weathered, V completely weathered, VI residual soil; grade affects strength and compressibility.

  • Discontinuity roughness: use JRC (joint roughness coefficient) or descriptive terms (smooth, rough, slickensided); roughness affects shear strength and dilation.

  • Fracture index: number of natural fractures per metre of core; high values indicate closely jointed rock and lower rock mass strength.

  • Groundwater observations: record seepage, inflow rate, and water level during drilling; these inform permeability and pore pressure assumptions.

  • Logging quality control: cross-check field logs with laboratory test results and geophysical logs; inconsistencies indicate sampling or logging errors.

Quick reference

Geological Engineering: Design Codes and Safety Formats

  • Limit state design: distinguish ultimate limit state (collapse, excessive deformation) from serviceability limit state (settlement, cracking); apply partial factors to loads and resistances.

  • Eurocode 7 design approaches: DA1 (factors on actions and resistances), DA2 (factors on actions and resistances, different combination), DA3 (factors on actions and material properties); the choice affects foundation sizing.

  • Load and resistance factor design (LRFD): apply load factors >1 to loads and resistance factors <1 to capacity; calibration is code-specific.

  • Factor of safety vs partial factors: FS = resistance/load is a global measure; partial factors separate uncertainty in loads and resistances; do not mix without justification.

  • Serviceability criteria: allowable settlement varies with structure type (e.g., 25 mm for isolated footings, 50 mm for rafts is a common guide, but project-specific limits govern).

  • Seismic design: use design response spectra and site amplification factors; liquefaction and slope stability are checked under design earthquake motions.

  • Verification and documentation: state the design approach, factors, and assumptions; peer review is required for complex or high-risk projects.

Quick reference

Geological Engineering: Geohazard Mitigation and Monitoring

  • Landslide mitigation hierarchy: avoid the hazard, reduce exposure, engineer the slope (drainage, reinforcement, retaining), and monitor; monitoring alone does not reduce risk.

  • Drainage measures: surface drains, horizontal drains, and trench drains lower pore pressure; the effectiveness depends on permeability and continuity of the drainage path.

  • Retaining structures: gravity walls, cantilever walls, anchored walls, and soil nail walls; design considers active and passive earth pressures, water pressure, and surcharge.

  • Rockfall barriers: catch fences and rockfall sheds; design based on block energy (mass × velocity²/2) and trajectory; maintenance is essential.

  • Debris flow: check for channel confinement, sediment supply, and rainfall thresholds; mitigation includes check dams, channel linings, and avoidance.

  • Monitoring frequency: increase during construction and periods of heavy rainfall; use automated systems for critical sites with real-time alerts.

  • Emergency response: predefine trigger levels and response actions; communicate with stakeholders and authorities before an event, not during it.

Quick reference

Geological Engineering: Numerical Modeling and Analysis

  • Model selection: limit equilibrium for slope stability; finite element or finite difference for deformation and complex geometry; distinct element for jointed rock; select based on problem physics.

  • Constitutive models: Mohr–Coulomb for general soil/rock; Hoek–Brown for jointed rock; modified Cam-Clay for soft clays; the choice must match the material behavior and loading path.

  • Boundary conditions: model domain must be large enough that boundaries do not affect results; fix or roller boundaries at depth and sides; apply groundwater conditions explicitly.

  • Parameter sensitivity: run sensitivity analyses on key parameters (strength, permeability, stiffness); report the range of outcomes, not a single deterministic result.

  • Calibration and validation: compare model predictions with monitoring data (settlement, pore pressure, displacement); adjust parameters within measured ranges.

  • Mesh and time step: refine mesh near structures and failure zones; time steps must be small enough for consolidation and dynamic analyses.

  • Limitations: numerical models are tools, not substitutes for geological understanding; state assumptions and limitations in the report.

Quick reference

Geological Engineering: Construction Phase and Observational Method

  • Observational method: predict behavior, design monitoring, compare observed with predicted, and adjust design/construction; requires predefined contingency plans.

  • Earthworks: control compaction moisture and layer thickness; test density and moisture at regular intervals; reject material that does not meet specification.

  • Pile installation: monitor driving resistance or drilling parameters; dynamic testing verifies capacity; integrity testing detects defects.

  • Ground improvement verification: test treated ground (e.g., CPT, plate load, or sampling) to confirm design assumptions; do not assume improvement without verification.

  • Excavation safety: slope and shoring design, groundwater control, and monitoring of adjacent structures; daily inspection during active excavation.

  • As-built records: document actual ground conditions, deviations from design, and testing results; these inform future maintenance and liability.

  • Handover: provide as-built drawings, monitoring data, and maintenance manuals; include residual risk and inspection schedule.

Quick reference

Geological Engineering: Environmental and Geochemical Considerations

  • Acid rock drainage: sulfide minerals (pyrite) oxidize to produce acidic, metal-rich water; test with acid-base accounting and kinetic tests; mitigation includes encapsulation and neutralization.

  • Contaminant sorption: Kd depends on soil type, pH, and contaminant; batch tests estimate Kd; use conservative values for risk assessment.

  • Landfill design: liner systems (clay and/or geomembrane), leachate collection, and cover; site selection considers geology, groundwater, and seismic hazards.

  • Brownfield redevelopment: characterize contamination, assess risk, and plan remediation; geotechnical design must account for contaminated soils and groundwater.

  • Mine waste: tailings dams require stability analysis, seepage control, and monitoring; failure consequences are high, so design factors are conservative.

  • Natural attenuation: monitored natural attenuation can be a remediation option if degradation rates and plume stability are demonstrated.

  • Regulatory framework: environmental permits and standards vary by jurisdiction; identify applicable regulations early in the project.

Quick reference

Geological Engineering: Data Interpretation and Uncertainty

  • Spatial variability: soil and rock properties vary; use statistical methods (mean, standard deviation, coefficient of variation) and geostatistics to characterize uncertainty.

  • Characteristic value: a cautious estimate of the value governing the limit state; Eurocode 7 defines it statistically; state the basis (e.g., mean minus one standard deviation).

  • Correlation vs causation: correlations between test results (e.g., SPT and strength) are empirical; verify with direct tests for critical designs.

  • Outlier detection: check data for transcription errors, sampling disturbance, and equipment malfunction before using in design.

  • Ground model: a 3D interpretation of geology and parameters; update as new data arrive; document the model and its uncertainties.

  • Risk-based decision making: combine probability and consequence; use quantitative risk assessment for high-consequence hazards.

  • Communication: present uncertainty clearly to stakeholders; avoid false precision; state assumptions and limitations.

Quick reference

Geological Engineering: Key Formulas and Relationships

  • Effective stress: σ′ = σ − u; use effective stress for drained conditions and total stress for undrained conditions in low-permeability materials.

  • Shear strength: τ = c′ + σ′·tanφ′ (effective); τ = su (undrained); the choice depends on drainage and loading rate.

  • Consolidation settlement: Sc = Cc·H·log10((σ0′+Δσ)/σ0′)/(1+e0); use Cr for recompression below preconsolidation pressure.

  • Bearing capacity: qu = c·Nc + q·Nq + 0.5·γ·B·Nγ; factors depend on friction angle and foundation shape/depth.

  • Slope stability: FS = resisting forces/moments ÷ driving forces/moments; use limit equilibrium methods (Bishop, Spencer) for circular slip surfaces.

  • Permeability: Darcy's law Q = k·i·A; pumping test analysis gives T and S; packer tests give Lugeon values for rock.

  • Rock mass strength: Hoek–Brown criterion with GSI, mi, and D; RMR and Q for classification and support design.

Quick reference

Geological Engineering: Common Exam Traps and Clarifications

  • RQD is not the same as core recovery; RQD counts only intact pieces ≥100 mm along the core axis, excluding drilling breaks.

  • GSI is not measured directly; it is estimated from structure and surface condition; do not treat it as a laboratory result.

  • The friction angle of a joint is not the same as the friction angle of the intact rock; joint roughness and infilling reduce strength.

  • Liquefaction is not limited to clean sands; silts and gravelly soils can liquefy under certain conditions; plasticity and gradation matter.

  • A high factor of safety does not guarantee no failure; it depends on the reliability of parameters and the failure mechanism considered.

  • Dewatering increases effective stress and may cause settlement; it is not always beneficial for adjacent structures.

  • Seismic magnitude is not the same as intensity; magnitude measures energy released, intensity measures effects at a site.

Quick reference

Geological Engineering: Field Investigation Methods

  • Geological mapping: record lithology, structure, weathering, and geomorphology; use a consistent scale and legend; map contacts and faults accurately.

  • Trenching and test pits: expose shallow geology and allow bulk sampling; log walls and base; backfill and compact appropriately.

  • Geophysics: seismic refraction for bedrock depth and rippability; electrical resistivity for groundwater and contamination; GPR for shallow voids and utilities; each method has resolution and depth limits.

  • Borehole camera and televiewer: image fractures and bedding; oriented logs give true dip and dip direction; useful in rock mass characterization.

  • Piezometers and standpipes: measure groundwater levels and pore pressure; install with proper seals; monitor over time to capture seasonal variations.

  • In-situ testing: SPT, CPT, vane, pressuremeter, dilatometer, and plate load; select based on soil type and design parameter needed.

  • Sampling: disturbed samples for classification; undisturbed samples for strength and consolidation; preserve and transport carefully.

Quick reference

Geological Engineering: Rock Mass Behavior and Support Design

  • Rock mass strength is controlled by discontinuities; intact rock strength is an upper bound; scale effects reduce strength with increasing volume.

  • RMR parameters: UCS, RQD, spacing, condition, groundwater, and orientation; each has a rating; sum gives RMR; adjust for orientation.

  • Q-system: Q = (RQD/Jn)·(Jr/Ja)·(Jw/SRF); use for tunnel support selection; Q and RMR correlate but are not identical.

  • Support selection: rock bolts, mesh, shotcrete, steel sets; the choice depends on rock mass quality, stress, and excavation size.

  • Squeezing ground: weak, high-stress rock; use yielding support and sequential excavation; monitor convergence.

  • Rockburst: high-stress, brittle rock; use destress blasting, rock bolts, and energy-absorbing support; monitoring of seismicity.

  • Ground support verification: pull-out tests for bolts, thickness and strength tests for shotcrete; inspect regularly.

Quick reference

Geological Engineering: Soil Behavior and Testing

  • Consistency of clays: undrained shear strength su correlates with liquidity index and effective overburden; use vane, UU triaxial, or CPT correlations.

  • Compressibility: compression index Cc and recompression index Cr from oedometer tests; preconsolidation pressure from Casagrande construction.

  • Shear strength: drained parameters from CD or CU tests with pore pressure measurement; undrained parameters from UU or vane; select based on drainage conditions.

  • Permeability: laboratory tests (constant/falling head) on small samples may not represent field-scale permeability; use field tests for design.

  • Compaction: Standard Proctor (lower energy) vs Modified Proctor (higher energy); maximum dry density and optimum moisture content depend on energy and soil type.

  • Collapsible soils: metastable structure collapses on wetting; identify with oedometer tests at natural and soaked moisture; mitigate by pre-wetting or compaction.

  • Expansive soils: high PI and clay minerals (montmorillonite); volume change on wetting/drying; mitigate with moisture control, lime stabilization, or removal.

Quick reference

Geological Engineering: Project Lifecycle and Deliverables

  • Feasibility stage: desk study, preliminary ground model, identification of geohazards and constraints; limited investigation.

  • Design stage: detailed investigation, parameter selection, analysis, and design; peer review for complex projects.

  • Construction stage: verification testing, monitoring, and as-built records; observational method for uncertain conditions.

  • Operation and maintenance: monitoring, inspection, and maintenance of geotechnical assets; update risk assessments.

  • Decommissioning: assess stability, contamination, and long-term monitoring requirements; plan for closure.

  • Documentation: maintain a project file with investigation data, design calculations, and monitoring records; ensure traceability.

  • Communication: coordinate with structural, hydrological, and environmental engineers; geotechnical assumptions affect other disciplines.

Quick reference

Geological Engineering: Ethics and Professional Responsibility

  • Competence: work within your expertise; seek specialist advice for complex geology, seismicity, or contamination.

  • Honesty: report actual conditions and test results; do not suppress unfavorable data.

  • Objectivity: base conclusions on evidence; disclose assumptions and uncertainties.

  • Confidentiality: protect client data; share only with authorization.

  • Public safety: prioritize safety over cost or schedule; report unsafe conditions to appropriate authorities.

  • Conflict of interest: disclose financial or personal interests that could affect judgment.

  • Continuing education: maintain knowledge of current standards and methods.

Quick reference

Geological Engineering: Glossary of Key Terms

  • RQD: rock quality designation; percentage of intact core pieces ≥100 mm in a run; indicates degree of jointing.

  • GSI: geological strength index; a qualitative scale (0–100) describing rock mass structure and surface condition.

  • Lugeon: unit of rock mass permeability; 1 Lu ≈ 1 L/min per metre at 1 MPa; used in packer tests.

  • SPT: standard penetration test; blow count for a split-spoon sampler; corrected to (N1)60 for overburden and energy.

  • CPT: cone penetration test; continuous measurement of cone resistance and sleeve friction; used for soil profiling.

  • PI: plasticity index; LL − PL; indicates plasticity and volume change potential.

  • FS: factor of safety; ratio of resisting to driving forces or moments.

  • PGA: peak ground acceleration; maximum acceleration during an earthquake; used in seismic design.

Quick reference

Geological Engineering: Practical Rules of Thumb

  • Borehole depth: extend below the zone of influence; for foundations, 1.5–2 times the footing width below the base; for slopes, below the potential slip surface.

  • Slope angle vs friction angle: for a dry, cohesionless slope, the stable angle is approximately the friction angle; add cohesion or drainage for steeper slopes.

  • Settlement limits: common guides are 25 mm for isolated footings and 50 mm for rafts, but project-specific criteria govern; differential settlement is often more critical.

  • Permeability ranges: gravel >10⁻² m/s; sand 10⁻²–10⁻⁵ m/s; silt 10⁻⁵–10⁻⁷ m/s; clay <10⁻⁸ m/s; use for preliminary dewatering and drainage design.

  • RQD interpretation: >90% excellent, 75–90% good, 50–75% fair, 25–50% poor, <25% very poor; use with joint condition, not alone.

  • Rock mass strength: jointed rock strength is typically 10–30% of intact rock strength; use GSI and Hoek–Brown for design.

  • Monitoring frequency: daily during active construction or rainfall; weekly to monthly during operation; adjust based on trends.

Quick reference

Geological Engineering: Summary of Key Concepts

  • Geological engineering integrates geology, soil and rock mechanics, hydrogeology, and engineering design to solve ground-related problems.

  • Ground model: a 3D interpretation of geology, properties, and groundwater; it is the basis for all analysis and design.

  • Uncertainty: inherent in geological materials; manage with investigation, testing, statistical analysis, and the observational method.

  • Failure mechanisms: identify the controlling mechanism (shear, sliding, toppling, liquefaction, settlement) before selecting analysis methods.

  • Design: use limit state design with partial factors or global factors; verify serviceability and ultimate limit states.

  • Monitoring: essential for verification and early warning; define trigger levels and response actions.

  • Communication: report clearly, state assumptions and limitations, and coordinate with other disciplines.

Quick reference

Geological Engineering: Final Review Checklist

  • Have you identified the geological setting and potential geohazards?

  • Have you characterized the rock mass and soil profile with appropriate tests?

  • Have you determined groundwater conditions and permeability?

  • Have you selected design parameters with justification and stated uncertainty?

  • Have you checked both ultimate and serviceability limit states?

  • Have you designed a monitoring plan with trigger levels and response actions?

  • Have you documented assumptions, limitations, and peer review?

Quick reference

Geological Engineering: Additional Formulas and Conversions

  • Unit weight: γ = ρ·g; ρ in kg/m³, g ≈ 9.81 m/s²; γ in kN/m³ when ρ in kg/m³ and g in m/s² divided by 1000.

  • Void ratio and porosity: e = Vv/Vs; n = Vv/Vt; e = n/(1−n); n = e/(1+e).

  • Degree of saturation: S = Vw/Vv; S = w·Gs/e; w = water content, Gs = specific gravity.

  • Consolidation coefficient: cv = T·H²/t; T is a time factor (e.g., 0.197 for 50% consolidation in the log-time method).

  • Seismic site amplification: amplify PGA by site factors; soft soils amplify long-period motion; rock sites have lower amplification.

  • Liquefaction safety factor: FS = CRR/CSR; CRR from (N1)60 or CPT; CSR from PGA and overburden; FS < 1 indicates potential liquefaction.

  • Rock bolt capacity: pull-out capacity depends on bond strength and embedment length; verify with pull-out tests.

Quick reference

Geological Engineering: Exam Strategy and Key Distinctions

  • Distinguish between total and effective stress; use effective stress for drained conditions and long-term stability.

  • Distinguish between intact rock and rock mass; rock mass strength is lower due to discontinuities.

  • Distinguish between undrained and drained shear strength; select based on loading rate and permeability.

  • Distinguish between ultimate and serviceability limit states; both must be satisfied.

  • Distinguish between magnitude and intensity; magnitude is energy, intensity is effect at a site.

  • Distinguish between RQD and core recovery; RQD excludes drilling breaks.

  • Distinguish between GSI and RMR; both are classifications but use different inputs and purposes.

Quick reference

Geological Engineering: References and Standards (Generic)

  • ISRM suggested methods for rock characterization, testing, and monitoring; use for rock testing standards.

  • ASTM standards for soil testing (e.g., D1586 SPT, D4318 Atterberg limits, D2435 consolidation); follow current editions.

  • Eurocode 7 (EN 1997) for geotechnical design; national annexes may modify partial factors.

  • Local building codes and seismic design provisions; identify the governing code for the project location.

  • Environmental regulations for contamination and waste; identify applicable permits and standards.

  • Industry guidance for slope stability, tunneling, and ground improvement; use recognized references and peer review.

  • Quality management standards for testing laboratories; ensure accreditation and calibration.

Quick reference

Geological Engineering: Risk Management and Communication

  • Risk = likelihood × consequence; rank risks and allocate mitigation resources accordingly.

  • Residual risk: after mitigation, some risk remains; communicate and manage it.

  • Trigger levels: define measurable thresholds (e.g., displacement rate, pore pressure) and response actions.

  • Communication: use plain language for non-specialists; provide maps and clear recommendations.

  • Stakeholder engagement: involve regulators, owners, and affected parties early.

  • Documentation: keep records of decisions, assumptions, and monitoring data.

  • Review: update risk assessments as new data and conditions emerge.

Quick reference

Geological Engineering: Final Summary

  • Geological engineering requires integrating geology, mechanics, and hydrogeology with engineering design.

  • Investigation must be planned, staged, and adapted to the geology encountered.

  • Design parameters must be justified and uncertainty stated.

  • Failure mechanisms must be identified before analysis.

  • Monitoring and the observational method manage uncertainty during construction.

  • Reporting must be clear, honest, and complete.

  • Professional ethics and public safety guide all decisions.