

Variable-rate pumping analysis simulator
WELLS is a code for multi-well variable-rate simulations. It is based on analytical solutions. It supports confined, unconfined, and leaky aquifers; fully or partially penetrating wells; and pumping-well storage. Variable-rates are represented as step or piecewise-linear rates, as well as exponential and sinusoidal signals.
- Principle of superposition for multiple sources/sinks and transients.
- Method of images for constant-head and no-flow boundaries.
- Temporal trends (linear/exponential) to capture non-pumping influences.
- Simulation workflow tested and deployed on cloud resources, supercomputers, and desktops (Windows/Linux/macOS).
- Can be coupled with calibration/UQ tools such as our own software, MADS.
WELLS has both C and Julia implementations.

Example simulation of transient capture zones for two wells with time-varying pumping rates.
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- Numerical and Experimental Studies of Coupled THM Processes in Fractured Tight Rocks (2023) — A. Abdullah, H. U. Rashid, O. M. Olorode — 57th U.S. Rock Mechanics/Geomechanics Symposium
- Analytical modification of EDFM for transient flow in tight rocks (2022) — Olufemi Olorode, Harun Rashid — Scientific Reports
- Augmenting geophysical interpretation of data-driven operational water supply forecast modeling for a western US river using a hybrid machine learning approach (2021) — S.W. Fleming, V.V. Vesselinov, A.G. Goodbody — Journal of Hydrology
- Learning to regularize with a variational autoencoder for hydrologic inverse analysis (2021) — D. O'Malley, J.K. Golden, V.V. Vesselinov — arXiv
- Machine-Learning Predictions of the Shale Wells’ Performance (2021) — M. Mehana et al. — Journal of Natural Gas Science and Engineering
- Three-Dimensional Projection-Based Embedded Discrete-Fracture Model for Compositional Simulation of Fractured Reservoirs (2020) — Olufemi Olorode, Bin Wang, Harun Ur Rashid — SPE Journal
- Characterizing the impact of model error in hydrologic time series recovery inverse problems (2018) — S.K. Hansen, J. He, V.V. Vesselinov — Advances in Water Resources
- Direct Breakthrough Curve Prediction from Statistics of Heterogeneous Conductivity Fields (2018) — S.K. Hansen et al. — Water Resources Research
- Identifying Arbitrary Parameter Zonation using Multiple Level Set Functions (2018) — Z. Lu, V.V. Vesselinov, H. Lei — Journal of Computational Physics
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- Push-pull tracer tests: their information content and use for characterizing non-Fickian, mobile-immobile behavior (2016) — S.K. Hansen et al. — Water Resources Research
- Analytical Sensitivity Analysis of Transient Groundwater Flow in a Bounded Model Domain using Adjoint Method (2015) — Z. Lu, V.V. Vesselinov — Water Resources Research
- Blind source separation for groundwater level analysis based on non-negative matrix factorization (2014) — B. Alexandrov, V.V. Vesselinov — Water Resources Research
- Accounting for the influence of aquifer heterogeneity on spatial propagation of pumping drawdown (2013) — D.R. Harp, V.V. Vesselinov — Journal of Water Resource and Hydraulic Engineering
- Analysis of hydrogeological structure uncertainty by estimation of hydrogeological acceptance probability of geostatistical models (2012) — D. Harp, V.V. Vesselinov — Special issue of Uncertainty Quantification (invited), Advances in Water Resources
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- Radial flow to a partially penetrating well with storage in an anisotropic confined aquifer (2012) — P.K. Mishra, V.V. Vesselinov, S.P. Neuman — Journal of Hydrology
- Saturated–unsaturated flow in a compressible leaky-unconfined aquifer (2012) — P.K. Mishra, V.V. Vesselinov, K.L. Kuhlmna — Advances in Water Resources
- Unified Analytical Solution for Radial Flow to a Well in a Confined Aquifer (2011) — P.K. Mishra, V.V. Vesselinov — arXiv
- Identification of Pumping Influences in Long-Term Water Level Fluctuations (2010) — D. Harp, V.V. Vesselinov — Ground Water
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- Stochastic inverse method for estimation of geostatistical representation of hydrogeologic stratigraphy using borehole logs and pressure (2010) — D. Harp, V.V. Vesselinov — Special issue of Stochastic Environmental Research and Risk Assessment (SERRA) Journal celebrating 70th anniversary of Shlomo P Neuman
- Uncertainties in Transient Capture-Zone Estimates of Groundwater Supply Wells (2007) — V.V. Vesselinov — Journal of Contemporary Water Research & Education
- Uncertainties In Transient Capture-Zone Estimates (2006) — V.V. Vesselinov — Computational Methods in Water Resources (CMWR) — ISBN 90-5809-124-4
- Development and Application of Numerical Models to Estimate Fluxes through the Regional Aquifer beneath the Pajarito Plateau (2005) — E.H. Keating, B.A. Robinson, V.V. Vesselinov — Vadose Zone Journal
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- Machine learning analyses for characterization of oil, gas and water production from unconventional tight-rock reservoirs (2019) — V.V. Vesselinov — AGU Fall Meeting
- Decision Analyses for Groundwater Remediation (2017) — V.V. Vesselinov, D. O'Malley, D. Katzman — Waste Management Symposium
- Hydraulic Inverse Modeling using Total-Variation Regularization with Relaxed Variable-Splitting (2017) — Y. Lin et al. — SIAM Conference on Computational Science and Engineering
- Quo vadis: Hydrologic inverse analyses using high-performance computing and a D-Wave quantum annealer (2017) — D. O'Malley, V.V. Vesselinov — AGU Fall Meeting
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- Analysis of Hydrologic Time Series Reconstruction Uncertainty due to Inverse Model Inadequacy (2016) — J. He, S. Hansen, V.V. Vesselinov — AGU Fall Meeting
- Groundwater Remediation using Bayesian Information-Gap Decision Theory (2016) — D. O'Malley, V.V. Vesselinov — AGU Fall Meeting
- Hydraulic Inverse Modeling using Total-Variation Regularization with Relaxed Variable-Splitting (2016) — Y. Lin et al. — AGU Fall Meeting
- Identifying Aquifer Heterogeneities using the Level Set Method (2016) — Z. Lu, V.V. Vesselinov, H. Lei — AGU Fall Meeting
- Prediction of Breakthrough Curves for Conservative and Reactive Transport (2016) — S. Hansen et al. — AGU Fall Meeting
- Reduced Order Models for Decision Analysis and Upscaling of Aquifer Heterogeneity (2016) — V.V. Vesselinov, D. O'Malley, B. Alexandrov — AGU Fall Meeting (invited)
- A Social Dynamics Dependent Water Supply Well Contamination Model (2014) — J. Bakarji, D. O'Malley, V.V. Vesselinov — DOE LANL Presentation
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- Environmental Management Modeling Activities at Los Alamos National Laboratory (LANL) (2010) — V.V. Vesselinov, et al. — Department of Energy Technical Exchange Meeting, Performance Assessment Community of Practice, Hanford
- Tomographic inverse estimation of aquifer properties based on pressure variations caused by transient water-supply pumping (2008) — V.V. Vesselinov et al. — AGU Meeting
- Uncertainties in Transient Capture-Zone Estimates (2006) — V.V. Vesselinov — Conference on Computational Methods in Water Resources (CMWR), Copenhagen, Denmark