Application of a Bayesian model to infer the contribution of coalbed natural gas produced water to the Powder River, Wyoming and Montana

Jason M. Mailloux, Kiona Ogle, Carol D. Frost

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The Powder River Basin (PRB) of Wyoming and Montana contains significant coal and coal bed natural gas (CBNG) resources. CBNG extraction requires the production of large volumes of water, much of which is discharged into existing drainages. Compared to surface waters, the CBNG produced water is high in sodium relative to calcium and magnesium, elevating the sodium adsorption ratio (SAR). To mitigate the possible impact this produced water may have on the quality of surface water used for irrigation, the State of Montana passed water anti-degradation legislation, which could affect CBNG production in Wyoming. In this study, we sought to determine the proportion of CBNG produced water discharged to tributaries that reaches the Powder River by implementing a four end-member mixing model within a Bayesian statistical framework. The model accounts for the 87Sr/86Sr, δ13CDIC, [Sr] and [DIC] of CBNG produced water and surface water interacting with the three primary lithologies exposed in the PRB. The model estimates the relative contribution of the end members to the river water, while incorporating uncertainty associated with measurement and process error. Model results confirm that both of the tributaries associated with high CBNG activity are mostly composed of CBNG produced water (70-100%). The model indicates that up to 50% of the Powder River is composed of CBNG produced water downstream from the CBNG tributaries, decreasing with distance by dilution from non-CBNG impacted tributaries from the point sources to ~10-20% at the Montana border. This amount of CBNG produced water does not significantly affect the SAR or electrical conductivity of the Powder River in Montana.

Original languageEnglish (US)
Pages (from-to)2361-2381
Number of pages21
JournalHydrological Processes
Volume28
Issue number4
DOIs
StatePublished - Feb 15 2014

Fingerprint

coal seam
natural gas
river
water
tributary
sodium
surface water
river basin
adsorption
gas production
electrical conductivity
point source
river water
magnesium
legislation
lithology
dilution
calcium
irrigation
drainage

Keywords

  • δC
  • Sr/Sr
  • Carbon isotopes
  • Coal bed natural gas
  • Dissolved inorganic carbon
  • Isotope mixing model
  • Sodium adsorption ratio
  • Strontium isotopes
  • Water pollution

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

Application of a Bayesian model to infer the contribution of coalbed natural gas produced water to the Powder River, Wyoming and Montana. / Mailloux, Jason M.; Ogle, Kiona; Frost, Carol D.

In: Hydrological Processes, Vol. 28, No. 4, 15.02.2014, p. 2361-2381.

Research output: Contribution to journalArticle

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