Twin Cities campus
 
Twin Cities Campus

Geoengineering Minor

CSENG Civil, Envrn & Geo-Eng (CEGE)
College of Science and Engineering
Link to a list of faculty for this program.
Contact Information
Department of Civil, Environmental, and Geo-Engineering, University of Minnesota, 122 Civil Engineering Building, 500 Pillsbury Drive S.E., Minneapolis, MN 55455 (612-625-5522; fax: 612-626-7750)
Email: cegesps@umn.edu
Website: https://cse.umn.edu/cege
  • Program Type: Graduate minor related to major
  • Requirements for this program are current for Spring 2022
  • Length of program in credits (master's): 6
  • This program does not require summer semesters for timely completion.
Emphases are in fundamental aspects of geomechanics and its applications. Research focuses on the use and development of discrete and continuum theories such as elasticity, plasticity, fracture mechanics, and poroelasticity for solving engineering problems. Numerical methods are being developed for obtaining solutions; experimental methods and novel apparatus are being developed for gathering physical evidence. Applications include processes of comminution, flow of granular materials, hydraulic fracturing, and nondestructive testing.
Program Delivery
  • via classroom (the majority of instruction is face-to-face)
Prerequisites for Admission
Special Application Requirements:
Students interested in the minor are strongly encouraged to confer with their major field advisor and director of graduate studies, and the Geoengineering director of graduate studies regarding feasibility and requirements.
For an online application or for more information about graduate education admissions, see the General Information section of this website.
Program Requirements
Use of 4xxx courses towards program requirements is not permitted.
Courses must be taken on the A-F grade basis, unless only offered S/N. The minimum cumulative GPA for the minor is 3.00.
Minor Coursework (6 credits)
Select 6 credits from the following in consultation with the advisor and the Geoengineering director of graduate studies:
CEGE 5341 - Wave Methods for Nondestructive Testing (3.0 cr)
CEGE 5351 - Advanced Engineering Mathematics I (3.0 cr)
CEGE 8301 - Fracture of Geomaterials (3.0 cr)
CEGE 8302 - Soil/Rock Plasticity and Limit Analysis (4.0 cr)
CEGE 8311 - Advanced Rock Mechanics (3.0 cr)
CEGE 8321 - Thermoporoelasticity (4.0 cr)
CEGE 8322 - Storage and Flow of Granular Materials (3.0 cr)
CEGE 8331 - Modeling Geomechanical Processes (3.0 cr)
CEGE 8336 - Boundary Element Methods I (3.0 cr)
CEGE 8337 - Boundary Element Methods II (3.0 cr)
CEGE 8341 - Wave Propagation in Solids and Structures (4.0 cr)
CEGE 8351 - Advanced Engineering Mathematics II (3.0 cr)
CEGE 8352 - Advanced Groundwater Mechanics II (3.0 cr)
CEGE 8361 - Engineering Model Fitting (3.0 cr)
Program Sub-plans
Students are required to complete one of the following sub-plans.
Students may not complete the program with more than one sub-plan.
Masters
  
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· College of Science and Engineering

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· Fall 2022

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CEGE 5341 - Wave Methods for Nondestructive Testing
Credits: 3.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Introduction to contemporary methods for nondestructive characterization of objects of civil infrastructure (e.g., highways, bridges, geotechnical sites). Imaging technologies based on propagation of elastic waves such as ultrasonic/resonant frequency methods, seismic surveys, and acoustic emission monitoring. Lecture prereq: [AEM 2021, AEM 3031] or instr consent
CEGE 5351 - Advanced Engineering Mathematics I
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Emphasizes skills relevant for civil, environmental, and geo-engineers. Mathematical principles are explained in an engineering setting, with applications chosen primarily from fluid mechanics, and deformable body mechanics, but also from contaminant transport, structures, and groundwater flow. prereq: [ Math 2374 or equiv], upper division CSE student or grad student] or instr consent
CEGE 8301 - Fracture of Geomaterials
Credits: 3.0 [max 3.0]
Course Equivalencies: CE 8301/GeoE 8301
Prerequisites: CSE grad student, 5321, GeoE 5321 or #
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Crack tip stress and displacement fields; stress intensity factors. Energy principles of fracture; compliance method. Process zone models. J integral. Mixed-mode fracture. Behavior of cracked solids. Numerical and experimental approaches. prereq: CSE grad student, 5321, GeoE 5321 or instr consent
CEGE 8302 - Soil/Rock Plasticity and Limit Analysis
Credits: 4.0 [max 4.0]
Prerequisites: CSE grad student, CE 4300 or #
Grading Basis: A-F or Aud
Typically offered: Spring Even Year
Plasticity of soils and rocks. Yield conditions, flow rules. Theorems of limit analysis. Static solutions, method of characteristics. Kinematic solutions, hodograph. Energy balance. Applications to soil/rock engineering problems. prereq: CSE grad student, CE 4300 or instr consent
CEGE 8311 - Advanced Rock Mechanics
Credits: 3.0 [max 3.0]
Course Equivalencies: CE 8311/GeoE 8311
Prerequisites: CSE grad student, 4311 or GeoE 4311 or #
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Stress transformations; principal stresses and directions. Friction and behavior of rock joints; stability of frictional sliding. Elastic waves; acoustic emission and seismic measurements. Fragmentation and rock breakage. prereq: CSE grad student, 4311 or GeoE 4311 or instr consent
CEGE 8321 - Thermoporoelasticity
Credits: 4.0 [max 4.0]
Course Equivalencies: CE 8321/GeoE 8321
Prerequisites: CSE grad student, 5321 or GeoE 5321 or #
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Micro-mechanical description of porous media. Thermodynamics foundations. Linear theory of thermoporoelasticity: constitutive, transport, and balance laws; field equations. Determination of material constants. Singular solutions. Methods of solution: integral transform, method of singularities, finite and boundary element method. prereq: CSE grad student, 5321 or GeoE 5321 or instr consent
CEGE 8322 - Storage and Flow of Granular Materials
Credits: 3.0 [max 3.0]
Prerequisites: CSE grad student, 4301 or #
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Plasticity of granular media. Static and dynamic method of slices. Storage and flow of granular materials in bins and hoppers. Stress concentrations, arching, piping. Experiments on granular material properties and flow. prereq: CSE grad student, 4301 or instr consent
CEGE 8331 - Modeling Geomechanical Processes
Credits: 3.0 [max 3.0]
Course Equivalencies: CE 8331/GeoE 8331
Prerequisites: CSE grad student, 5321 or GeoE 5321
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Data-limited nature of problems in geomechanics. Dimensional analysis. Regimes of solution. Similarity of solutions. Elements of fracture mechanics, elastoplasticity, poroelasticity. Applications to stability of underground excavations, fluid flow in fracture, tool-rock interaction, hydraulic fracturing. prereq: CSE grad student, 5321 or GeoE 5321
CEGE 8336 - Boundary Element Methods I
Credits: 3.0 [max 3.0]
Course Equivalencies: CE 8336/GeoE 8336
Prerequisites: CSE grad student
Grading Basis: A-F or Aud
Typically offered: Fall Even Year
Introduction to boundary element methods for elastostatics; stress discontinuity, displacement discontinuity, and direct boundary integral methods. Derivation of basic mathematical solutions from the theory of elasticity. Applications in geomechanics. prereq: CSE grad student
CEGE 8337 - Boundary Element Methods II
Credits: 3.0 [max 3.0]
Course Equivalencies: CE 8337/GeoE 8337
Prerequisites: 8336, GeoE 8336 or #
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Transient and nonlinear problems. prereq: 8336, GeoE 8336 or instr consent
CEGE 8341 - Wave Propagation in Solids and Structures
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Fundamentals of wave propagation theory in elastic media. Wave dispersion and packet distortion. Waves in one-dimensional structural systems: rods and beams. Waves in two- and three-dimensional media. Guided waves, Rayleigh waves and Lamb waves. Waves in heterogeneous media. Application of wave methods to structural and material diagnostics. Experimental methods for wavefield measurements and characterization. Signal processing for wave feature extraction. Introduction to nonlinear wave propagation. prereq: Basic courses in soil machanics/dynamics or instr consent
CEGE 8351 - Advanced Engineering Mathematics II
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Emphasizes skills relevant for civil, environmental, and geo-engineers. Mathematical principles are explained in an engineering setting, with applications chosen from deformable body mechanics, rock mechanics, soil mechanics, fluid mechanics, and groundwater flow. prereq: [MATH 2374 or equivalent], [CEGE 5351], [CSE grad student or instr consent]
CEGE 8352 - Advanced Groundwater Mechanics II
Credits: 3.0 [max 3.0]
Course Equivalencies: CE 8352/GeoE 8352
Prerequisites: 4351, CSE grad student or #
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Applying complex methods, including conformal mapping, in groundwater mechanics; solving problems with free boundaries using the hodograph method; drains in aquifers with free boundaries; superposition of solutions with drains; singular Cauchy integrals; boundary elements. prereq: 4351, CSE grad student or instr consent
CEGE 8361 - Engineering Model Fitting
Credits: 3.0 [max 3.0]
Prerequisites: CSE grad student or #
Grading Basis: A-F or Aud
Typically offered: Fall Even Year
Parameter estimation and inverse modeling for civil and geological engineering. Formulating engineering model fitting problems; comparing and selecting various fit criteria; implementing numerical algorithms; analyzing and interpreting results using both statistical and qualitative tools; designing future measurement plans. prereq: CSE grad student or instr consent