On the stress dependency of sand production coefficient in hydro-dynamical sanding criteria

A hydro-mechanical semi-analytical framework for hollow cylinder sanding tests

“…The aforementioned dependence is fitted by a modified power law with decreasing exponential factor, building on our previous work. 19 By suitably modeling the geometry and stress conditions of the experiment of Kooijman et al, 38 we apply our framework to a case with continuously variable external stress and variable flowrate obtaining good agreement with measured sand production.…”

“…In our previous work 19 we proposed a power law dependence of the sand production coefficient λ on the external stress, under the assumption that λ is zero at the minimum stress for yielding (7.41 MPa). In this work, we propose a modified power law dependence with decreasing exponential factor:…”

“…where α [m −1 ], β [-] are constants to be determined by best fit, σ min = 7.41 MPa and the power law exponent is taken from Ref. 19. Constants α and β after best fit determination are presented in Table 2.…”

“…In general, sand production is investigated with models based on field or experimental observations often calibrated by field or laboratory data to prove their predictive efficiency. Research works on numerical, analytical and experimental investigations include: Qiu et al, 1 Osisanya, 2 Papamichos, 3 Rahmati et al, 4 Volonte et al, 5 Ikporo and Sylvester, 6 Wang and Sharma, 7 Gravanis et al, 8,9 Gholami et al, 10 Li et al, 11 Eshiet et al, 12 Fetrati and Pak, 13 van den Hoek et al, 14 Subbiah et al, 15 Sarris et al, 16 Ma et al, 17 Zhang et al 18 and Kakonitis et al 19 Many researchers have attempted to explain the cause of sand production. Sanding is attributed to the increase of effective Rate of softening (Eqs.…”