Rig Mathematics Training Course
Master essential mathematical calculations for drilling operations in compliance with API RP 13D standards.

Main Service Location
Course Title
Rig Mathematics
Course Duration
5 Days
Training Delivery Method
Classroom (Instructor-Led) or Online (Instructor-Led)
Assessment Criteria
Practical Assessment and Knowledge Assessment
Service Category
Training, Assessment, and Certification Services
Service Coverage
In Tamkene Training Center or On-Site: Covering Saudi Arabia (Dammam - Khobar - Dhahran - Jubail - Riyadh - Jeddah - Tabuk - Madinah - NEOM - Qassim - Makkah - Any City in Saudi Arabia) - MENA Region
Course Average Passing Rate
98%
Post Training Reporting
Post Training Report + Candidate(s) Training Evaluation Forms
Certificate of Successful Completion
Certification is provided upon successful completion. The certificate can be verified through a QR-Code system.
Certification Provider
Tamkene Saudi Training Center - Approved by TVTC (Technical and Vocational Training Corporation)
Certificate Validity
3 Years (Extendable)
Instructors Languages
English / Arabic
Interactive Learning Methods
3 Years (Extendable)
Training Services Design Methodology
ADDIE Training Design Methodology
.png)
Course Outline
1. Introduction to Rig Mathematics
1.1 Importance of Mathematical Accuracy in Drilling Operations
Impact of mathematical errors on safety and operational efficiency including (blowout prevention calculations, mud weight determination)
Role of mathematics in rig operations and decision-making including (pressure control, stuck pipe prevention)
Historical perspective on mathematical applications in drilling including (evolution from manual to digital calculations)
1.2 Systems of Measurement
Imperial vs. metric unit conversions including (converting feet to meters, gallons to liters)
Common drilling industry units and notations including (pounds per gallon, specific gravity units)
Standardization of units according to API Specification 13A including (barite density standards, clay yield requirements)
2. Fundamental Mathematical Operations
2.1 Basic Arithmetic Review
Applied drilling calculations using addition, subtraction, multiplication, and division including (additive concentration calculations, determining total depths)
Order of operations in complex formulas including (trip margin calculations, surge and swab pressure determinations)
Rounding and significant figures in drilling calculations including (mud weight precision requirements, pressure test accuracy)
2.2 Fractions, Decimals, and Percentages
Converting between fractions and decimals in rig applications including (pipe dimensions, tool joint specifications)
Percentage calculations for fluid additives including (cement slurry additives, lost circulation material concentrations)
Concentration and dilution problems including (barite sag prevention, brine preparation)
3. Volume Calculations
3.1 Geometric Principles in Drilling
Area and volume formulas for common shapes including (rectangular pits, cylindrical tanks)
Calculating irregular pit volumes including (trapezoidal mud pits, custom-shaped tanks)
Displacement volumes including (pipe displacement while tripping, cement displacement calculations)
3.2 Tank and Pit Volume Determinations
Strapping tables and calibration techniques including (creating volume charts for tanks, verifying existing tank tables)
Calculating fluid volumes in partial tanks including (determining mud volumes in active systems, calculating available pit space)
Annular volume calculations including (wellbore-drillstring annulus, casing-hole annulus)
4. Pressure Calculations
4.1 Fundamental Pressure Principles
Hydrostatic pressure calculations including (calculating bottomhole pressure, determining kick tolerance)
Pressure gradient determinations including (pore pressure estimation, fracture gradient calculation)
Pressure conversion between units including (converting psi to kPa, bar to psi)
4.2 Advanced Pressure Applications
Equivalent Circulating Density (ECD) calculations including (determining ECD in narrow margin wells, optimizing drilling parameters)
Surge and swab pressure determinations including (calculating safe tripping speeds, preventing formation breakdown)
Pump pressure and horsepower calculations including (determining required pump pressure for efficient hole cleaning, optimizing bit hydraulics)
5. Weight and Density Calculations
5.1 Mud Weight Control
Density calculations and conversions including (converting from specific gravity to ppg, from kg/m³ to lb/ft³)
Material balance equations including (determining barite additions, calculating dilution requirements)
Weight-up and dilution problems including (increasing mud weight in emergency situations, preparing kill mud)
5.2 Weight-to-Volume Conversions
Solids content determinations including (calculating low gravity solids content, determining drill solids concentration)
Barite sag prevention calculations including (determining critical flow rates, calculating settling tendencies)
Bulk density and volume requirements including (calculating cement volume requirements, determining liquid additive volumes)
6. HSE Considerations in Rig Mathematics
6.1 Safety Factors in Engineering Calculations
Safety margin determinations including (casing design factors, kick tolerance calculations)
Risk assessment quantification including (evaluating pressure test results, determining safe operating windows)
Failure analysis calculations including (tubular burst and collapse pressure determination, material strength evaluations)
6.2 Environmental Impact Calculations
Spill volume estimations including (calculating containment requirements, determining reportable quantities)
Waste management calculations including (determining cuttings volume, calculating treatment requirements)
Emissions quantification including (calculating carbon footprint, determining fuel efficiency)
7. Quality Control in Mathematical Applications
7.1 Statistical Analysis for Drilling Operations
Basic statistical tools for data evaluation including (analyzing mud check data, evaluating formation pressure tests)
Error identification and correction including (identifying outliers in pressure data, correcting volume measurement errors)
Quality assurance in mathematical processes including (verifying calculation procedures, implementing double-check systems)
7.2 Documentation and Reporting
Proper mathematical documentation practices including (maintaining accurate drilling reports, recording weight and volume measurements)
Creating and using calculation sheets including (designing hydraulics worksheets, creating pit volume tracking forms)
Graphical representation of mathematical data including (pressure vs. depth plots, rate of penetration analysis)
8. Case Studies & Group Discussions
Analysis of mathematical errors and their consequences including (Middle East well control incidents, formation damage cases)
Problem-solving sessions for common rig mathematical challenges including (lost circulation scenarios, stuck pipe incidents)
Regional challenges in drilling operations requiring mathematical solutions including (high-pressure formations in the Arabian Gulf, narrow drilling margins in the Mesopotamian Basin)
The importance of proper training in preventing operational incidents
Targeted Audience
Drilling engineers requiring mathematical skills for operational decisions
Mud engineers needing calculation expertise for fluid management
Rig supervisors responsible for operational efficiency and safety
Well control specialists requiring pressure calculation proficiency
Technical support personnel involved in drilling operations
Equipment maintenance staff needing volume and pressure calculation skills
HSE personnel responsible for risk assessment and management
Quality assurance staff involved in drilling operations
Operations managers overseeing drilling activities
Knowledge Assessment
Written examination on key mathematical principles including (multiple-choice questions on pressure calculations and matching exercise for unit conversions)
Problem-solving exercises related to real-world drilling scenarios including (determining mud weight requirements and calculating annular volumes)
Calculation accuracy evaluation including (pressure gradient determinations and volume conversions)
Key Learning Objectives
Master essential mathematical calculations used in drilling operations
Calculate pressure gradients, equivalent circulating densities, and hydrostatic pressures
Determine accurate volume measurements for various pit and tank geometries
Apply weight-to-volume conversion techniques for drilling fluid additives
Perform hydraulic calculations for optimized drilling operations
Analyze and solve real-world mathematical problems encountered on drilling rigs
Implement mathematical techniques in accordance with API RP 13D standards
Course Overview
This comprehensive Rig Mathematics Training Course equips participants with essential mathematical skills required for various drilling operations. The course covers fundamental calculations related to pressure gradients, hydraulics, volume determinations, and weight-to-volume conversions essential for efficient and safe rig operations.
Participants will gain hands-on experience with real-world calculations used daily on drilling rigs, enabling them to make accurate technical decisions and enhance operational safety. This course adheres to industry best practices and API RP 13D standards for drilling fluid processing systems.
Practical Assessment
Hands-on calculation exercises using actual drilling data including (strapping tables creation and hydraulic calculations)
Field-based volume and weight determinations under supervision including (tank volume measurement and mud weight verification)
Implementation of mathematical techniques in simulated drilling scenarios including (kick detection calculations and pressure control determination)
Why Choose This Course?
Practical approach focusing on real-world applications rather than abstract theory
Industry-relevant examples drawn from actual drilling operations
Hands-on problem-solving using calculators and spreadsheets
Comprehensive coverage of all essential mathematical skills for drilling operations
Focus on safety-critical calculations that prevent well control incidents
Alignment with international standards and best practices
Interactive learning methodology with group discussions and case studies
Practical assessments that verify competency in applied mathematics
Note: This course outline, including specific topics, modules, and duration, can be customized based on the specific needs and requirements of the client.