WebMay 27, 2024 · where u is the displacement; is the (linear) strain tensor; μ and λ are the Lamé parameters; α is the Biot-Willis constant; p and ρ are the fluid's pressure and density, respectively; 1/M is the compressibility constant; g is the gravitational vector; and κ is the permeability. The source terms f and S f represent the density of applied body forces and … Web.第二节地层破裂压力在井下一定深度裸露的地层，承受流体压力的能力是有限的，当液体压力达到一定数值时会使地层破裂，这个液体压力称为地层破裂压力（Fractureppressure），一般用f表示。使用最广泛的地层破裂压力预测是Hubbert-Willis模式和Haimson-Fairhurst模式。破裂压力数据应用于钻井、修井 ...
Did you know?
WebOct 16, 2016 · The Biot-Willis coefficient is a key component associated with the effective stress field, where it represents the proportion of fluid pressure that counteracts the … WebPoromechanics is a branch of physics and specifically continuum mechanics and acoustics that studies the behaviour of fluid-saturated porous media. A porous medium or a porous …
WebJun 23, 2024 · The Biot-Willis Elastic Coefficients for a Sandstone I. Fatt. I. Fatt University of California, Berkeley, Calif. Search for other works by this author on: This Site. ... A … WebMay 24, 2014 · One example is presented to study the effect of Biot–Willis coefficient, α, on 2D plane-strain consolidation of three-layered materials imposed by a vertical uniform loading. In this example, the property of the materials is the same with the above one except the Biot–Willis coefficient, α.
WebI. Fatt, “The Biot-Willis Elastic Coefficients for a Sandstone,” Journal of Applied Mechanics, Vol. 26, 1959, pp. 296-296. has been cited by the following article: TITLE ... ABSTRACT: Employing Biot’s theory of wave propagation in liquid saturated porous media, waves propagating in a hollow poroelastic closed spherical shell filled with ... WebD. G. WILLIS2. INTRODUCTION. HE theory of the deformation of a porous elastic solid containing a viscous compressible fluid was established by Biot in several earlier papers (1, 2, 3, 4).a In reference (1) the isotropic case is considered, and in reference (2) the theory is generalized to anisotropic materials.
WebThe functional relationship between various difinitions of effective stress, i.e., conventional, Biot-Willis-Nur-Byerlee, and theory of interacting continua (Tinc), is explored both theoretically and experimentally. Stress-strain data on dry and saturated Weber sandstone demonstrate that the conventional effective stress law grossly ...
WebOct 9, 1973 · The functional relationship between various definitions of effective stress, i.e., conventional, Biot-Willis-Nur-Byerlee, and theory of interacting continua (Tinc), is explored both theoretically ... small christian christmas giftsWebThese results could be explained in the framework of poroelastic theory. Although it is not possible to determine Skempton’s B-parameter ( Skempton, 1954) and the Biot-Willis poroelastic parameter ( Biot and Willis, 1957) separately from multistep strength tests, the product of both parameters can be derived from the test results. small christian businessesWebThe poroelastic Biot-Willis coefficient, β, in liquidsaturated fractured rocks was suggested to range even between 0.1 and 1.0 (e.g. Zimmerman, 2000), depending also on the amount of damage ... something cover lab flasks stopper or capWebThe obtained rate-dependent PI of the reservoir is controlled by four dimensionless parameters, namely, the dimensionless rock bulk modulus, the Biot-Willis effective stress coefficient, Poisson’s ratio, and rock initial porosity. something cosmic riz la vieWebThe Biot-Willis coefficient is a key component associated with the effective stress field, where it represents the proportion of fluid pressure that counteracts the confining stress. … small chow meinWebAug 1, 2024 · In its exact form, pore pressure is multiplied with the Biot-Willis coefficient, which is defined as the ratio of pore volume changes to bulk volume changes at constant pore pressure (dry or drained … something corporate woke up in a car m4aWebGeorge Keith Batchelor (Melbourne, 8 de março de 1920 — Cambridge, 30 de março de 2000) foi um matemático australiano.. Foi durante muitos anos professor de matemática aplicada na Universidade de Cambridge, e foi chefe fundador da Faculdade de Matemática da Universidade de Cambridge.Em 1956 fundou o Jornal de Mecânica dos Fluidos, que … something corporate punk rock princess mp3