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GPS Geodesy and Crustal Deformation Monitoring

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Geoid Determination and Geodesy→→Seismic Network Design and Station Deployment
geodesy gps deformation monitoring

Core Idea

Global Positioning System (GPS) and modern satellite geodesy measure crustal motions with millimeter precision, revealing plate velocities, interseismic strain accumulation, and coseismic/postseismic deformation. GPS networks constrain plate kinematics, validate plate motion models, and detect uplift or subsidence from loading, volcanism, or groundwater withdrawal. Time-series analysis reveals secular trends and transient signals (slow-slip events, postseismic relaxation), providing constraints on lithospheric rheology and fault mechanical properties.

Explainer

Your prerequisite work on geoid determination and geodesy established how we define positions on a deforming Earth. GPS geodesy takes that foundation and turns it into a tool for watching the Earth move in real time. The basic idea is simple: a network of GPS receivers bolted to bedrock records their positions continuously, and by tracking how those positions change over weeks, months, and years, we can measure how the crust is deforming. Modern processing achieves horizontal precisions of 1–2 mm/year for velocity estimates, making it possible to detect motions far slower than a fingernail grows.

The most straightforward application is measuring plate velocities. Dense GPS networks across plate boundaries confirm and refine the predictions of plate motion models like NUVEL and MORVEL. For example, GPS stations across the Pacific-North American boundary in California show about 46 mm/year of right-lateral motion, distributed across the San Andreas fault system and the Eastern California Shear Zone. But GPS reveals something models based on million-year geological averages cannot: how strain is distributed across a boundary right now, and whether it matches the long-term average or deviates from it.

The real power of GPS emerges in the earthquake cycle. Between earthquakes, a locked fault accumulates elastic strain in the surrounding crust — a process called interseismic strain accumulation. GPS stations near a locked fault show a velocity gradient: stations far from the fault move at the full plate rate, while stations near the fault are dragged along by the locked patch and move more slowly. This velocity profile can be inverted to estimate the depth and extent of fault locking. When the fault finally ruptures, GPS stations record sudden coseismic displacements — jumps in position that map the slip distribution on the fault. After the earthquake, stations continue to move in a decaying pattern called postseismic deformation, driven by afterslip on the fault and viscoelastic relaxation of the lower crust and mantle.

GPS has also revealed entirely new phenomena that were invisible before continuous monitoring existed. Slow-slip events — episodes where a fault slips over days to weeks without generating detectable seismic waves — were first discovered through GPS time series in the Cascadia subduction zone. These events release energy equivalent to magnitude 6–7 earthquakes but do so silently. GPS networks also detect volcanic inflation and deflation (tracking magma movement beneath volcanoes), glacial isostatic adjustment (the ongoing rebound of Scandinavia and Canada after ice-sheet retreat), and even seasonal loading from groundwater and snow. Each of these signals appears as a characteristic pattern in the GPS time series, and disentangling them is both the challenge and the power of modern geodesy.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration → Periodic Trends → Covalent Bonding → Electronegativity and Bond Polarity → Ionic Bonding → Lewis Structures → VSEPR Theory and Molecular Geometry → Molecular Geometry and Electron Pair Geometry → Molecular Polarity and Dipole Moments → Intermolecular Forces → States of Matter and Phase Changes: Melting, Boiling, and Sublimation → Gas Laws and the Ideal Gas Equation → Gas Stoichiometry and Volume-Volume Calculations → Thermochemistry and Enthalpy → Heat Capacity and Calorimetry → Entropy and Molecular Disorder → Spontaneity and ΔG → Entropy and Gibbs Free Energy → Chemical Equilibrium → Statistical Mechanics: Ensembles and the Boltzmann Distribution → Partition Function: Definition and Properties → The Canonical Partition Function and Thermodynamic Derivation → Free Energy and Thermodynamic Relations from Partition Functions → Legendre Transformations and Thermodynamic Potentials → Chemical Potential and Partial Molar Properties → Phase Equilibrium and Coexistence Conditions → Clausius-Clapeyron Equation → Phase Diagrams and Phase Boundaries → Igneous Rocks → Metamorphic Rocks → The Rock Cycle → Plate Tectonics → Tectonic Plate Boundaries → Geologic Structures: Folds and Faults → Earthquakes and Seismology → Seismic Waves → Earth's Interior Structure → Gravity Potential Theory and Earth's Gravitational Field → Geoid Determination and Geodesy → GPS Geodesy and Crustal Deformation Monitoring

Longest path: 194 steps · 1160 total prerequisite topics

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