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A Refined Model for Solid Particle Rock Erosion

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Abstract

A procedure for the estimation of distribution parameters of a Weibull distribution model K 1 = f(K 12/4Ic /σ 23/4C ) for solid particle erosion, as recently suggested in Rock Mech Rock Eng, doi: 10.1007/s00603-014-0658-x, 2014, is derived. The procedure is based on examinations of elastic–plastically responding rocks (rhyolite, granite) and plastically responding rocks (limestone, schist). The types of response are quantified through SEM inspections of eroded surfaces. Quantitative numbers for the distribution parameter K 1 are calculated for 30 rock materials, which cover a wide range of mechanical properties. The ranking according to the parameter K 1 is related to qualitative rock classification schemes. A modified proposal for the erosion of schist due to solid particle impingement at normal incidence is introduced.

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Abbreviations

b :

Distribution scale parameter

C :

Target material flow stress parameter

C P :

Specific heat target material

e :

Coefficient of restitution

E :

Effective modulus

E R :

Relative erosion

E LR :

Relative erosion due to lateral fracture

E PR :

Relative erosion due to plastic deformation

F :

Numerical constant

H M :

Target material hardness

K 1 :

Erosion function parameter

K Ic :

Target material fracture toughness

n :

Work hardening coefficient

N i :

Number of eroded sections

NL :

Number of sections related to lateral fracture

N P :

Number of sections related to plastic deformation

v P :

Erodent particle impact velocity

α :

Erodent particle impact angle

χ :

Transition parameter

λ :

Distribution scale parameter

ρ P :

Erodent material density

σ C :

Target material compressive strength

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Authors and Affiliations

  1. Faculty of Georesources and Materials Technology, Aachen University of Technology (RWTH Aachen), Wolfgangsweg 12, 20459, Hamburg, Germany

    A. W. Momber

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  1. A. W. Momber
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Correspondence to A. W. Momber.

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Momber, A.W. A Refined Model for Solid Particle Rock Erosion. Rock Mech Rock Eng 49, 467–475 (2016). https://doi.org/10.1007/s00603-015-0745-7

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  • DOI: https://doi.org/10.1007/s00603-015-0745-7

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