Twin Cities campus

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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)
  • Program Type: Graduate minor related to major
  • Requirements for this program are current for Fall 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 5342 - Introduction to Inverse Problems (3.0 cr)
CEGE 5351 - Advanced Engineering Mathematics I (3.0 cr)
CEGE 8301 {Inactive} (3.0 cr)
CEGE 8302 {Inactive} (4.0 cr)
CEGE 8311 {Inactive} (3.0 cr)
CEGE 8321 - Thermoporoelasticity (4.0 cr)
CEGE 8322 {Inactive} (3.0 cr)
CEGE 8331 {Inactive} (3.0 cr)
CEGE 8336 - Boundary Element Methods I (3.0 cr)
CEGE 8337 {Inactive} (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 {Inactive} (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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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 5342 - Introduction to Inverse Problems
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall
Introduction to principles and applications of the inverse problems theory -- the underpinning of model-driven data analytics. The course covers (i) basic ideas, (ii) mathematical foundation, (iii) discretization strategies, (iv) regularization techniques, (v) solution algorithms, and (vi) example problems. All advanced concepts, when recalled, are introduced in an intuitive engineering setting. The discussion, supported by ample numerical examples, focuses on the inversion of linear ``forward'' models. Numerical solutions are implemented in the Matlab environment, and make use of the regtools package that accompanies the textbook (P.C. Hansen, Discrete Inverse Problems -- Insight and Applications, SIAM, 2010). Prereqs: MATH 2243, MATH 2263, CEGE 3101 or equivalent
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 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 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 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