PIPages
Labs

Nicholas Engdahl

Washington State University, WA·Earth & Environmental Science

Predicting where groundwater, and any pollutant it carries, will flow is hard because nobody can see the full structure of the rock and sediment underground. Groundwater models normally depend on uncertain guesses about that structure, so their predictions can be wrong without saying how wrong.

Fields

Earth & Environmental Science

Engineering

Mathematics & Statistics

Topics

groundwater modeling

contaminant transport

uncertainty quantification

Grants
1 known grant, through Aug 2029

What they work on

  1. Develop a Madelung-style amplitude–phase groundwater transport model in which amplitudes describe probable transport modes across sediment types (facies) and phases act as velocity potentials, recovering the classical advection–dispersion equation in limiting cases.
  2. Build a facies-aware transport model for a complex amplitude field with a dephasing operator tied to facies length scales, to capture mixing below grid resolution and early-time plume behavior.
  3. Represent contaminant transport with a density-matrix evolution whose diagonal is concentration and whose off-diagonals encode short-range correlation, as a compact closure for unresolved heterogeneity.
  4. Validate all three frameworks on synthetic plumes, heterogeneous ensembles and MADE field data, comparing accuracy and CPU cost against MODFLOW/MT3DMS with PEST++.

More about the research

This project proposes a different way to build uncertainty into the models themselves. It borrows mathematics from quantum mechanics, which can represent several possible states at once, such as several possible paths a contaminant plume might take.

Why it matters

Decisions about cleaning up contaminated aquifers depend on groundwater predictions that often hide large uncertainties. Models that report uncertainty plainly could help engineers and environmental managers judge remediation risk more realistically and decide when extra model complexity is worth it. The open code and AI-assisted guide aim to make these tools usable in practitioners' own workflows. The frameworks may also be suited to future quantum computers.

Known grants

From NIH and NSF research grants. Labs often have other funding we can't see.

Quantum-Inspired Amplitude-Phase Frameworks for Uncertainty-Centric Groundwater Flow and Transport Modeling

NSF · Sep 2026 – Aug 2029

Closest labs

William Johnson

University of Utah, UT·Earth & Environmental Science

Quantify how particles such as microplastics and pathogens attach to sediment grains after repeated encounters, using laboratory transport experiments in porous media combined with surface characterization.

Collin Sutton

Colorado School of Mines, CO·Earth & Environmental Science

Develop a reduced-order, bipartite graph framework that captures the essential flow, solute transport and geochemical reactions in fractured rock without the cost of full-physics simulation.

Jonghyun Lee

University of Hawaii at Manoa, HI·Earth & Environmental Science

Build hybrid surrogate models from neural operators, networks that imitate expensive simulations, coupled through an open-source framework so groundwater–ocean exchange is simulated quickly while conserving mass at the land–sea boundary.

The school

Washington State University: 22 labs on PI Pages, $403M a year on research, 259 research doctorates a year.

More about Washington State University

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