Multipole moment decomposition for imaging hydraulic fractures from remote elastostatic data
نویسندگان
چکیده
منابع مشابه
Model Selection in Hydraulic Fracture Imaging from Elastostatic Measurements
In this paper, the imaging of hydraulic fractures from tilt measurements is investigated with regards to model selection. The quantitative selection of the most probable model in a finite set of fracture geometry and loading is carried out using Bayes factors. The modeling error variance is also estimated during the inversion procedure. Such model selection method allows to retrieve a known lim...
متن کاملFast multipole method applied to elastostatic BEM-FEM coupling
BEM-FEM coupling is desirable for three-dimensional problems involving specific features such as (i) large or unbounded media with linear constitutive properties, (ii) cracks, (iii) critical parts of complex geometry requiring accurate stress analyses. However, for cases with a BEM discretization involving a large number NBEM of degrees of freedom, setting up the BEM contribution to the coupled...
متن کاملElectromagnetic Current and Multipole Decomposition
In a set of two papers, we propose to study an old-standing problem, namely the electromagnetic interaction for particles of arbitrary spin. Based on the assumption that light-cone helicity at tree level and Q = 0 should be conserved non-trivially by the electromagnetic interaction, we are able to derive all the natural electromagnetic moments for a pointlike particle of any spin. In this first...
متن کاملElectric multipole moment fluctuations in polar liquids.
A general expression for the distribution of the fluctuating 2(l)-pole moment M(l) of a spherical sample of dielectric material is derived on the basis of dielectric theory combined with statistical mechanics. The formulas are compared with results from computer simulations of a weakly coupled Stockmayer fluid and the agreement is shown to be excellent. Furthermore, we calculate the size of the...
متن کاملA new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems
A new fast multipole boundary element method (BEM) is presented in this paper for large-scale analysis of two-dimensional (2-D) elastostatic problems based on the direct boundary integral equation (BIE) formulation. In this new formulation, the fundamental solution for 2-D elasticity is written in a complex form using the two complex potential functions in 2-D elasticity. In this way, the multi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inverse Problems
سال: 2007
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/23/4/016