
358
HINDERED SETTLING
basis at the well site, where it is used to help steer high-angle
wells within the most productive reservoir horizons (Morton
etal., in press).
Heavy minerals may become concentrated naturally by
hydrodynamic sorting, usually in shallow marine or fluvial
depositional settings. Naturally occurring concentrates of
economically valuable minerals are known as placers
(q.v.),
and such deposits have considerable commercial significance.
Cassiterite, gold, diamonds, chromite, monazite and rutile are
among the minerals that are widely exploited from placer
deposits.
Andrew C. Morton
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Cross-references
Attrition (Abrasion), Fluvial
Grain Settling
Grain Threshold
Placers
Provenance
HINDERED SETTLING
Gravitational segregation and settling of particles in an
aqueous suspension are strongly affected by suspension
concentration. Lone particles or particles in very low-
concentration suspensions settle freely through a fluid un-
encumbered by hydrodynamic influences of other particles (see
Grain
Settling). However, at a sufficient volume concentration
of solids, changes in fluid density and viscosity, particle
interactions, and upwelling of fluid caused by downward
particle motion (Hawksley, 1951; Davies, 1968) hinder particle
settling. As a result, enhanced particle segregation occurs and
overall particle-settling velocity is less than that of a single
particle of the same size settling in an infinite fluid.
For nearly a century scientists have recognized that particle
concentration affects the physical properties of fluids and
particle settling behavior. Sedimentation of any given particle
in a suspension is affected by both the mere presence of other
particles as well as by motion of neighboring particles. The
presence of rigid particles in a fluid distorts fluid motion as the
fluid is at rest at particle surfaces. Such distortion leads to an
increase in effective fluid viscosity, which is reasonably
predictable for dilute (<10 percent solids volume) suspensions
(Einstein, 1906). Particle motion also distorts fluid motion by
dragging fluid along as particles settle. However, owing to
mass conservation, downward particle motion induces fluid
upwelling which can enhance particle buoyancy and help
hinder particle settling.
Over the past several decades, various models have been
proposed to predict sedimentation velocities of different
particle species in suspensions. Each of these models defines
a so-called hindered settling function that describes the
reduction of particle settling velocity as a function of particle
concentration (e.g., Richardson and Zaki, 1954; Davis and
Gecol, 1994). Efforts have evolved from modeling suspensions
of monosized spheres at low Reynolds number (Re<0.5) to
multicomponent (i.e., multiple grain size and density) suspen-
sions at finite (1-100) Reynolds numbers (Davis and Gecol,
1994;
Manasseh et al., 1999), and toward development of
numerical models that simulate deposition from multicom-
ponent suspensions containing large numbers of particles (e.g.,
Zeng and Lowe, 1992; Hofler etal., 2000).
The following discussion outlines the effects of solids
concentration on particle settling and the effects of particle
settling behavior on the character of resulting sedimentary
deposits. The discussion focuses on the behavior of non-
flocculating suspensions in static fluids. Flocculent suspensions