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Stokes formula

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Journal Article
Published: 09 June 2015
Canadian Journal of Earth Sciences (2015) 52 (10): 823–832.
...Ahmed Abdalla; Saad Mogren Abstract A gravimetric geoid model (SAGEO13) is computed for the Kingdom of Saudi Arabia using a rigorous stochastic computational method. The computational methodology is based on a combination of least-squares (LS) modification of Stokesformula and the additive...
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Journal Article
Published: 01 October 1966
Bulletin of the Seismological Society of America (1966) 56 (5): 1187.
...-order theory of Helmert and of Stokes' formula. It is stated that satellite orbits san be used to esti- mate harmonies in the gravity field. (A partial explanation is given in Appendix 3.) The 1958 value of Merson and King-Hele for the flattening of the spheroid (1/298.24) is given. (In 1965, King-I...
Journal Article
Journal: GSA Bulletin
Published: 01 August 1997
GSA Bulletin (1997) 109 (8): 1055–1072.
... and a Reynolds number Re for spinose foraminifera. Experiments that involve settling scaled models of foraminifera (constructed from beeswax and pins) in viscous liquids are then used to confirm the forms of generalized dimensional formulae relating the settling speed W to test radius R , spine number n , spine...
Journal Article
Published: 01 February 1996
American Mineralogist (1996) 81 (1-2): 126–134.
... between 700 and 900 °C; one model is purely empirical, and the other is based on configurational entropy theory. When the molecular weight of the anhydrous melt is calculated on the basis of eight O atoms, or assumed to be 260 gram formula weight (gfw), and the total H 2 O concentration is expressed...
Journal Article
Published: 01 September 1965
Journal of Sedimentary Research (1965) 35 (3): 749–750.
...N. C. Janke Abstract A formula is available and has been incorporated in a computer program for obtaining the Reynolds' number of particles ranging in size from .05 mm to 70 mm. The program incorporates use of Stokes Law for particles finer than .05 mm. GeoRef, Copyright 2008, American Geological...
Journal Article
Published: 01 June 1961
Journal of Sedimentary Research (1961) 31 (2): 256–261.
... of inflection separating the three principal modes persistently occur at about 0.8 and 2 phi. The shapes of the cumulatives and the positions of the inflections are not related to shell content. Analysis of the polymodality leads to the conclusion that the Stokes-Impact formulas account for the 2 phi point...
Journal Article
Journal: Geophysics
Published: 31 May 2001
Geophysics (2001) 66 (6): 1660–1668.
... is the theoretical gravity on the surface of the spherical earth and δ r is the departure of the geoid from a sphere. In general and in practice, the geoid undulations are denoted by N . They are the departure from an ellipsoid and can be calculated using Stokes' formula. Details can be found in books...
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First thumbnail for: Ellipsoid, geoid, gravity, geodesy, and geophysics
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Book Chapter

Series: Society of Exploration Geophysicists Geophysics Reprint Series
Published: 01 January 2007
DOI: 10.1190/1.9781560801931.ch4e
EISBN: 9781560801931
... of temperature in solids. Despite this duplication, which Stokes mentioned, he deemed the application of the formulas to fluid flow instead of heat flow sufficiently different to warrant publication. Stokes had not yet analyzed the motion of a fluid with internal friction, later known as viscosity, although...
Journal Article
Published: 01 February 2001
Russ. Geol. Geophys. (2001) 42 (2): 240–244.
... can be determined using Stokesformula: U   =   2 r 2 g ( ρ p   -   ρ a ) / 9 η , where r is the radius of the particle, g – gravity acceleration, ρ p – particle density, ρ a – air density, η – the dynamic viscosity of air. 29 06 2000...
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Journal Article
Published: 17 June 2025
Bulletin of the Seismological Society of America (2025)
... empirical formulas or lab measurements (Edwards et al. , 2007 ; Novoselov et al. , 2020). The acoustic–seismic coupling kinetic energy ratio provides an approximate range of the acoustic–seismic energy conversion but does not yield precise results. To solve the acoustic–seismic energy conversion...
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Journal Article
Published: 01 May 2005
Journal of Sedimentary Research (2005) 75 (3): 521–523.
...Weinan Chen Chen (2003) purposely provided corrections to Stokes' Law based on theoretical considerations supported by lab tests. Stokes' Law has not been satisfactorily applied to solve the issues of particles falling in fluids within the Stokes range ( Wadell 1934 ; Krumbein and Pettijohn...
Journal Article
Published: 22 June 2009
Canadian Journal of Earth Sciences (2009) 46 (8): 571–585.
... but analytically in the vertical direction along a given column of topography. Having calculated δ A δ ρ (Ω), we may determine the corresponding DTE on geoidal height through the Stokes’ integration. The Stokes’ integration, in conjunction with Bruns’s formula, may be used to convert a field of effects...
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First thumbnail for: Modeling topographical density for geoid determina...
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Journal Article
Published: 01 May 2002
Journal of Sedimentary Research (2002) 72 (3): 442–443.
... of Drag : New York , Doubleday & Company, Inc ., 186 p. Stokes , G.G. , 1851 , On the effect of the friction of fluids on the motion of pendulums : Cambridge Philosophical Society, Transactions , v. 9 , p. 8 - 106 . Wadell , H. , 1934 , Some new sedimentation formulas...
Journal Article
Published: 01 November 2004
Journal of Sedimentary Research (2004) 74 (6): 933–937.
... in water this range is from fine sand to granules. We have derived a simple explicit formula ( Equation 4 ) for all grain sizes, including the transitional range, from a new dimensional analysis of the problem together with the assumptions that the relation must reduce to Stokes' law for fine sediment...
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First thumbnail for: A Simple Universal Equation for Grain Settling Vel...
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Journal Article
Published: 01 July 1943
Bulletin of the Seismological Society of America (1943) 33 (3): 197–228.
...Norman Ricker Abstract In this paper the wavelet theory of seismogram structure previously proposed by the author has been extended to obtain the form of the seismic disturbance (due to a sharp seismic pulse) at various distances from the source. The solution of Stokes's differential equation...
Journal Article
Published: 21 January 2025
Canadian Journal of Earth Sciences (2025) 62 (2): 513–535.
..., was carried out using formulae of Ramsay (1967) and De Paor (1987) . Shear strain values of 0.87–1.77 obtained from these two methods ( Stokes 1991 ) are consistent with the presence of a component of D 3 bedding-parallel shear within the fine siltstones and are equivalent to shear strains expected during...
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Journal Article
Journal: Geophysics
Published: 18 February 2025
Geophysics (2025) 90 (2): P1–P12.
... the calculation formula mentioned previously. According to Newton’s second law, the net external force acting on the object equals the mass multiplied by the acceleration. Thus, the following differential equation can be derived: m d v d t = m g − 1 2 C d ρ A | v | v , (2...
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Journal Article
Published: 01 December 2011
Journal of Sedimentary Research (2011) 81 (12): 921–934.
... and high Reynolds numbers guide the formulation of . At low Reynolds number, Re  < 1, the balance between the creeping-flow solution for drag on a sphere (Stokes' law, F D   =   α3πρνdw s ) and the submerged weight of a floc leads to a Stokes' settling relation, which expressed...
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Journal Article
Published: 01 March 2000
Journal of Sedimentary Research (2000) 70 (2): 423–426.
... to the limitations and high cost of sieves with a mesh less than 50 μm, they are typically analyzed using Stokes' law, in which the upper limit of validity is believed to lie between 25 and 60 μm ( Sengupta and Veenstra 1968 ). On the other hand, Stokes' law does not work for coarse particles because...
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Journal Article
Published: 01 August 2014
Journal of Sedimentary Research (2014) 84 (8): 718–727.
... (1993) , have suggested a different coefficient. Ferguson and Church (2004) proposed a dimensionally correct explicit model, which fulfills the criteria of Stokes' Law of settling for small, irregular, permeable grains and the constant drag coefficient for large grains. Building on previous work...
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First thumbnail for: Settling Velocity and Grain Shape of Maërl Biogeni...
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