Download Min 226: Quantitative Methods in Mining Engineering

Min 225: Quantitative Methods in Mining Engineering
Course Information: 2+ 0 Credit hours, Pre-Req: MIN 103; MATH 107X and
MATH 108X; MATH 200X or Equivalent; or Permission of the Instructor,
Fall, M & W, 8:00 AM – 9:00 AM
2010 Catalog Description: Introduction to ore reserve estimation, classical estimation
methods and techniques, error in estimations and pitfalls, introduction to classical
statistics, introduction to geostatistics, ordinary Kriging, Block Kriging, modeling the
sample variogram, coKriging, & global estimation. Pre-Req: MIN 103; MATH 107X
and MATH 108X; MATH 200X or Equivalent; or Permission of the Instructor,
Course Instructors: Sukumar Bandopadhyay, PhD., P.E., Professor of Mining
Engineering, 311 Duckering Building, College of Engineering &
Mines, Ph: 904-474-6876, Email: [email protected]
Course Objectives: This course is designed to give the freshmen/sophomore students an
introduction to concepts and practices in ore reserve estimation, using classical and
geostatistical estimation techniques.
Text Books: (1) USBM IC 8283 (1966), (2) Practical Geostatistics 2000, By Isobel
Clark & William V. Harper, Ecosse North America, LLC, Columbus , Ohio, USA,
ISBN : 0-9703317-0-3.
Student Learning Outcomes: Fundamental knowledge Goals
1.1
An ability to apply knowledge of mathematics, science and engineering
1.2
An ability to analyze and interpret data
Student Learning Outcomes: Competency & Ability Goals
2.1
2.2
2.3
Be able to analyze data using simple statistical analysis
Be able to use classical estimation techniques to calculate ore reserve
Be able to use Geostatistical techniques such as simple kriging for ore
reserve estimation.
Instructional Method: In class lectures, & case studies
Course Calendar:
Evaluating Mineral Deposits
September 6, 2010: Criteria for method selection
September 8, 2010 Analysis of exploration data
September 13 2010: Basic Assumptions
September13, 2010: Principles of Interpretation
September13, 2010: Rule of Nearest Points or Equal Influence
September 13, 2010: Variability within Mineral Deposits
September13, 2010: Weighting in Reserve Calculations
Classical Methods of Ore Reserve Computations
September 15, 2010: Average Factors & Area Methods
September 15, 2010: Method of Analogy
September 15, 2010: Method of Geologic Blocks
September 15, 2010: Method of Isolines
September 15, 2010: Cross Sectional Methods
September 20, 2010: Method of Triangles
`
September 20, 2010: Method of Polygons
September 22, 2010: Inverse Distance Square Methods
September 23, 2010: Cutoff Grade & Tonnage Factors
September 29, 2010: CASE STUDY # 1
Introduction to Statistics
October 4, 2010:
October 4, 2010:
October 4, 2010:
October 6, 2010:
October 11, 2010:
October 11, 2010:
October 13, 2010:
October 13, 2010:
October 18, 2010:
October 18, 2010:
October 20, 2010:
October 20, 2010:
Presenting & Summarizing
exploration Data
Samples & Population
Frequency Distribution
Characteristic of Distributions &
Central Tendency
Characteristics of Dispersion:
Dispersion
Sample size calculation
Samples: Accuracy of the Mean
Comparison of Means
Comparison of Variances
Hypothesis testing
Data Analysis
Non-parametric methods
Introduction to Geostatistics
October 25, 2010:
Spatial Description of Exploration
data
October 27 2010:
Contour Maps
November 2, 2010: Spatial Continuity
November2, 2010:
Correlation Functions, Covariance
Functions & Variograms,
Distribution of grades ,
November 4, 2010: Relative variograms
November 8, 2010: Point Estimation
November 10, 2010: Ordinary Kriging
November 22, 2010 Block Kriging
December 2, 2010
Cokriging
December 6, 2010:
December 9, 2010:
Case Studies II
Case studies III
Course Policies: (1): No-make examination (In case of illness, make-up exam may be
granted if a Doctor’s note is submitted). No early exams will be
given.
(2) Plagiarism/Academic Integrity: As stated in UAF policies &
Regulations
(3) Attendance is required for a passing grade.
(4) All home works, and project works need to be submitted
electronically (MS word file). No hand written submission of
homework or project work will be accepted.
(5) Late submission of any homework or project work will be
checked but will not count towards the final grade for the class.
Course Evaluation: The students will be evaluated based on absolute scores. Two inclass examination (Mid-term & final) will be 60% of the total grade, class-home works
will consist of 15% of the grade, class project will consist of 20% of the grade, and classparticipation & attendance will count for 5% of the grade.
The project(s) will constitute 20% of the grade. The project such as “Estimation of Ore
Reserve” for a given mining property using “classical techniques” or “Geostatistics ” will
be assigned to the group. Each project will be of considerable difficulty, and an openended problem. A written report and presentation of the results will be required. The
length of each report will vary depending on the problem assigned.
The project(s) will be assigned during the first/second week of the semester, giving
students adequate time to complete the project. Drill hole data for a given mining
property will be provided to the student. The project reports will follow the traditional
formats in the mining engineering field, and at a minimum, will have (1) literature review,
(2) Assumptions made, (3) Choice of the estimation method, (4) Volume and grade of
the mining deposit (4) Grade-tonnage curve based on cut-off grade, (5) Conclusions, and
(6) References.
Homework consists of 15 % of the total grade. A set of Homework will be assigned
every two weeks , beginning the second week of the semester. A total of 5 sets of
homework will assigned during the semester.
A student who receives 90% or above will get an “A” grade, 85-90% will get a “B” grade,
80-85% will count for a B-, etc.
Support Services: Student Tutors within CEM would be helpful.
Disabilities Services:
Will follow UAF rules & regulations.