Analytical Solutions for Flow Fields near Drain-and-Gate Reactive Barriers

Harald Klammler, Kirk Hatfield, Anvar Kacimov

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Permeable reactive barriers (PRBs) are a popular technology for passive contaminant remediation in aquifers through installation of reactive materials in the pathway of a plume. Of fundamental importance are the degree of remediation inside the reactor (residence time) and the portion of groundwater intercepted by a PRB (capture width). Based on a two-dimensional conformal mapping approach (previously used in related work), the latter is studied in the present work for drain-and-gate (DG) PRBs, which may possess a collector and a distributor drain (" full" configuration) or a collector drain only (" simple" configuration). Inherent assumptions are a homogeneous unbounded aquifer with a uniform far field, in which highly permeable drains establish constant head boundaries. Solutions for aquifer flow fields in terms of the complex potential are derived, illustrated, and analyzed for doubly symmetric DG configurations and arbitrary reactor hydraulic resistance as well as ambient groundwater flow direction. A series of practitioner-friendly charts for capture width is given to assist in PRB design and optimization without requiring complex mathematics. DG PRBs are identified as more susceptible to flow divergence around the reactor than configurations using impermeable side structures (e.g., funnel-and-gate), and deployment of impermeable walls on drains is seen to mitigate this problem under certain circumstances.

Original languageEnglish
Pages (from-to)427-437
Number of pages11
JournalGround Water
Volume48
Issue number3
DOIs
Publication statusPublished - May 2010

Fingerprint

reactive barrier
Aquifers
flow field
drain
Flow fields
Remediation
Conformal mapping
Groundwater flow
aquifer
Groundwater
Hydraulics
Impurities
remediation
mathematics
groundwater flow
residence time
plume
divergence
hydraulics
groundwater

ASJC Scopus subject areas

  • Water Science and Technology
  • Computers in Earth Sciences

Cite this

Analytical Solutions for Flow Fields near Drain-and-Gate Reactive Barriers. / Klammler, Harald; Hatfield, Kirk; Kacimov, Anvar.

In: Ground Water, Vol. 48, No. 3, 05.2010, p. 427-437.

Research output: Contribution to journalArticle

Klammler, Harald ; Hatfield, Kirk ; Kacimov, Anvar. / Analytical Solutions for Flow Fields near Drain-and-Gate Reactive Barriers. In: Ground Water. 2010 ; Vol. 48, No. 3. pp. 427-437.
@article{d6cf9bab54864801ab0f40b41cc948d6,
title = "Analytical Solutions for Flow Fields near Drain-and-Gate Reactive Barriers",
abstract = "Permeable reactive barriers (PRBs) are a popular technology for passive contaminant remediation in aquifers through installation of reactive materials in the pathway of a plume. Of fundamental importance are the degree of remediation inside the reactor (residence time) and the portion of groundwater intercepted by a PRB (capture width). Based on a two-dimensional conformal mapping approach (previously used in related work), the latter is studied in the present work for drain-and-gate (DG) PRBs, which may possess a collector and a distributor drain ({"} full{"} configuration) or a collector drain only ({"} simple{"} configuration). Inherent assumptions are a homogeneous unbounded aquifer with a uniform far field, in which highly permeable drains establish constant head boundaries. Solutions for aquifer flow fields in terms of the complex potential are derived, illustrated, and analyzed for doubly symmetric DG configurations and arbitrary reactor hydraulic resistance as well as ambient groundwater flow direction. A series of practitioner-friendly charts for capture width is given to assist in PRB design and optimization without requiring complex mathematics. DG PRBs are identified as more susceptible to flow divergence around the reactor than configurations using impermeable side structures (e.g., funnel-and-gate), and deployment of impermeable walls on drains is seen to mitigate this problem under certain circumstances.",
author = "Harald Klammler and Kirk Hatfield and Anvar Kacimov",
year = "2010",
month = "5",
doi = "10.1111/j.1745-6584.2009.00661.x",
language = "English",
volume = "48",
pages = "427--437",
journal = "Ground Water",
issn = "0017-467X",
publisher = "Wiley-Blackwell",
number = "3",

}

TY - JOUR

T1 - Analytical Solutions for Flow Fields near Drain-and-Gate Reactive Barriers

AU - Klammler, Harald

AU - Hatfield, Kirk

AU - Kacimov, Anvar

PY - 2010/5

Y1 - 2010/5

N2 - Permeable reactive barriers (PRBs) are a popular technology for passive contaminant remediation in aquifers through installation of reactive materials in the pathway of a plume. Of fundamental importance are the degree of remediation inside the reactor (residence time) and the portion of groundwater intercepted by a PRB (capture width). Based on a two-dimensional conformal mapping approach (previously used in related work), the latter is studied in the present work for drain-and-gate (DG) PRBs, which may possess a collector and a distributor drain (" full" configuration) or a collector drain only (" simple" configuration). Inherent assumptions are a homogeneous unbounded aquifer with a uniform far field, in which highly permeable drains establish constant head boundaries. Solutions for aquifer flow fields in terms of the complex potential are derived, illustrated, and analyzed for doubly symmetric DG configurations and arbitrary reactor hydraulic resistance as well as ambient groundwater flow direction. A series of practitioner-friendly charts for capture width is given to assist in PRB design and optimization without requiring complex mathematics. DG PRBs are identified as more susceptible to flow divergence around the reactor than configurations using impermeable side structures (e.g., funnel-and-gate), and deployment of impermeable walls on drains is seen to mitigate this problem under certain circumstances.

AB - Permeable reactive barriers (PRBs) are a popular technology for passive contaminant remediation in aquifers through installation of reactive materials in the pathway of a plume. Of fundamental importance are the degree of remediation inside the reactor (residence time) and the portion of groundwater intercepted by a PRB (capture width). Based on a two-dimensional conformal mapping approach (previously used in related work), the latter is studied in the present work for drain-and-gate (DG) PRBs, which may possess a collector and a distributor drain (" full" configuration) or a collector drain only (" simple" configuration). Inherent assumptions are a homogeneous unbounded aquifer with a uniform far field, in which highly permeable drains establish constant head boundaries. Solutions for aquifer flow fields in terms of the complex potential are derived, illustrated, and analyzed for doubly symmetric DG configurations and arbitrary reactor hydraulic resistance as well as ambient groundwater flow direction. A series of practitioner-friendly charts for capture width is given to assist in PRB design and optimization without requiring complex mathematics. DG PRBs are identified as more susceptible to flow divergence around the reactor than configurations using impermeable side structures (e.g., funnel-and-gate), and deployment of impermeable walls on drains is seen to mitigate this problem under certain circumstances.

UR - http://www.scopus.com/inward/record.url?scp=77952845794&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952845794&partnerID=8YFLogxK

U2 - 10.1111/j.1745-6584.2009.00661.x

DO - 10.1111/j.1745-6584.2009.00661.x

M3 - Article

C2 - 20039951

AN - SCOPUS:77952845794

VL - 48

SP - 427

EP - 437

JO - Ground Water

JF - Ground Water

SN - 0017-467X

IS - 3

ER -