Visualization of space competition and plume formation with complex potentials for multiple source flows: Some examples and novel application to Chao lava flow (Chile)

Weijermars, R.

doi:doi:10.1002/2013JB010608

Visualization of space competition and plume formation with complex potentials for multiple source flows: Some examples and novel application to Chao lava flow (Chile)

Title

Visualization of space competition and plume formation with complex potentials for multiple source flows: Some examples and novel application to Chao lava flow (Chile)

Author

Weijermars, R.

Faculty

Civil Engineering and Geosciences

Department

Geoscience & Engineering

Date

2014-03-17

Abstract

Fluid displacement in a continuum pressured by a variable constellation of source flows can be visualized as solutions of line integrals. The algorithms are based on complex potentials that provide exact solutions of the Navier-Stokes equation and allow users to specify both the location and flux strength of multiple sources. If relative strength and positioning of the sources are varied, a wide range of flow patterns and particle paths can be traced. Time-dependent variations in the strength of the sources can account for transient-flow problems. A further expansion is superposition of a background flow, which displaces the particle paths issued from the sources into concentrated plumes. The outlined modeling technique for visualization of multiple plume displacements is potentially relevant for a wide spectrum of practical situations. Detailed applications are possible, such as time tracking of groundwater-plume migration from a series of pollution sources, tracking of salt-feeder-stock flow and suture zone formation when salt issued from the stocks coalesces into a salt canopy, and designing of optimal spacing and relative pressure strength of multiple water injection wells in field-development plans for hydrocarbon production. Further applications are highlighted in the main text, including a simulation of geometrical features exposed in the Chao coulee (Chilean Andes).

Subject

source flows
conformal mapping
lava flows
salt sheets

To reference this document use:

http://resolver.tudelft.nl/uuid:c2ca90af-3714-479a-b3e1-874f967f2c85

DOI

https://doi.org/10.1002/2013JB010608

Publisher

American Geophysical Union

Embargo date

2014-09-17

ISSN

2169-9356