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Research Overview

Prof. Craig's interests include the development and application of new modelling approaches for addressing difficult environmental/water resources problems in both surface water and groundwater systems. He and his research group are invested in making these tools and techniques accessible and useful to consultants, educators, and regulators.

When used correctly, environmental models can inform policy makers, increase our understanding of complex systems, and help predict the effects of man's efforts to clean up pollution, use our available water resources, and control climate change. Prof. Craig and his research group work both to improve the science of environmental modelling and, as a nod to basic curiosity-driven research, ambitiously push the boundaries of what is possible using analytical and semi-analytical methods.

Current and Past Research

Upscaling and Robust Modelling of Hydrologic Phenomena
Surface water models are burdened with a difficult task: they are expected to successfully simulate the interaction of a variety of complicated processes (infiltration, evapotranspiration, heat transfer, etc.) at large scales in a computationally efficient manner. To complicate issues, these processes are extremely variable (both in time and space). Prof. Craig and his students are investigating how to use distribution-based approaches to successfully model a variety of phenomena at mixed spatial and temporal scales. His research group is also working on the development of a robust computational framework, Raven, for assessing the impacts of modelling decisions on model output.
Discontinuous Permafrost Hydrology
Regions underlain by discontinuous permafrost, such as those found in the Taiga plains of Northern Canada, are some of the most climate-change sensitive landscapes on earth. Working closesy with hydrologist Bill Quinton of Wilfrid Laurier University, Prof. Craig's research group aims to understand the long-term trajectory of hydrologic landscape change in these areas through a combination of modelling and fieldwork. We also aim to improve the capabilities of numerical models to simulate the complex hydrology of permafrost regions at regional scales, and to better understand the hydrologic cycle on these landscapes.
Series Solutions for Regional Groundwater Flow and Particle Tracking
Semi-analytical series solution approaches are an underappreciated and underinvestigated mathematical method for simulating a wide range of phenomena in fluid flow, soil, and solid mechanics. The methods can handle complex system geometry without internal discretization, improve with decreasing aspect ratio of the model domain, and provide solutions with near-spectral accuracy. Prof. Craig and his students have developed transient and steady state series solution approaches for multilayer aquifers in multiple dimensions, as well as for mixed saturated/unsaturated flow. We have also developed, in conjunction with partner S.S. Papadopolous & Assoc., series-solution based approaches for resolving particle tracks in MODFLOW-USG's irregular grids.
Analytical Solutions for Flow in Heterogeneous Aquifers
There are very few analytical solution approaches for simulating flow through porous media with heterogeneous properties. Prof. Craig has developed some novel methods based upon Bers-Vekua theory of pseudoanalytic functions to obtain exact solutions to heterogeneous porous media flow problems. These methods may eventually be used to benchmark numerical simulation methods and better understand the impact of heterogenity on pollutant transport.
Mixed Regional and Local Groundwater Flow Modelling
Groundwater flow models are used to improve our understanding of complex aquifer systems to better inform water supply and water quality policy. While existing numerical methods are suitable for simulating large scale systems or local systems, better approaches are needed to integrate the two scales. Prof. Craig is currently addressing this issue via integrating the analytic element method (AEM) which is advantageous at large scales, and the finite element method (FEM), more appropriate for complex local-scale phenomena. He is also working with Dr. Robert Gracie on extension of the extended finite element method (XFEM) to mixed-scale problems of carbon sequestration and reservoir leakage in multilayer aquifer systems.
Improved Design of Horizontal Geothermal Heat Loops
Low-grade geothermal is ahe sustainable energy efficiency technology that can survive today without government subsidy. However, there is still room for improvement in how we design and install backyard geothermal systems. Many existing systems are overdesigned because we just don’t have a full understanding of heat transport in the subsurface adjacent to the ground loops. The impact of soil variability and ground loop configuration remain elusive, despite the potential impact both can have on long-term performance. With a combination of field and computational research, students Simon Haslam and Richard Simms worked with partner NextEnergy, Inc., attempting to develop a better understanding of the processes which control outdoor loop effectiveness, and determine how we can design more effective systems on smaller land footprints.

Current Graduate Students
  • Erfan Abedian, Ph.D. Candidate
    • M.A.Sc. Structural Engineering, Sharif University of Technology
    • Thesis Title: "Numerical modelling of permafrost in heterogeneous media"
  • Shaghayegh Akbarpour, Ph.D. Candidate
    • M.Sc., Water Resource Engineering, University of Tehran
    • Thesis Topic: Simulating hydrologic change in the Northwest Territories
  • Genevieve Brown, M.A.Sc. Student
    • B.Sc. Environmental Engineering, University of Waterloo
    • Thesis Topic: River and lake ice forecasting and simulation
  • Élise Devoie, Ph.D. Candidate
    • B.Sc. Mathematical Physics, University of Waterloo
    • Thesis Title: "The changing influence of permafrost on peatlands hydrology"
  • Mark Ranjram, Ph.D. Candidate
    • M.Eng., Civil Engineering, McGill University
    • Thesis Title: "Upscaling of Lateral Groundwater Flow Processes in Watershed Models"
  • Leland Scantlebury, M.A.Sc. Student
    • B.Sc. Environmental Engineering, Portland State University
    • Thesis Topic: TBD
  • Mahkameh Taheri, Ph.D. Candidate
    • M.Sc., Water Resource Engineering, University of Tehran
    • Thesis Topic: Upscaling fill-and-spill hydrologic processes

The annual research group BBQ, Waterloo, Summer 2017. Left to Right: Élise Devoie, Sarah Grass, Rob Chlumsky, Mark Ranjram, James Craig, Mahyar Shafii, Konhee Lee, Erfan Amiri, Juliane Mai

Me posing with a three-dimensional groundwater analog model at the Illinois Water Survey HQ, June 2012.
Each node of the 'computational' grid was soldered together by hand, yet even back in 1964 they managed to use multigrid methods, variable pumping rates, and flexible far-field conditions. It just took a bit longer. This is is just about one of the only tangible historical artifacts in the field of groundwater modelling.

At our geoexchange monitoring site during system installation. Guelph, Nov 2010.
Left to Right: Richard Simms, James Craig, Dave Broderecht (from NextEnergy), Simon Haslam

Computational hydrology researchers pretending to be field savvy. Yukon, Nov 2008.
Left to Right: Lucy Liu, Angela MacLean, Andy Snowdon, Frank Seglenieks, James Craig;
Bottom: Carol Soulis, Kaitlyn McIntyre, Bryan Tolson
Former Graduate Students