Inconsistency between Fracture and Anisotropic Systems in Predicting Horizontal-sink Productivity.

Satô, Kôzô; Arihara, Norio; Nakashima, Toshinori; Fujita, Kazuo

doi:10.1627/jpi1958.44.232

Cited by 2 publications

(3 citation statements)

References 3 publications

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“…Its applicability has been demonstrated through permeability 13) , horizontal-sink productivity 14) , anisotropy 11) , and pseudo-skin 15) estimations.…”

Section: Alternating Conditional Expectationmentioning

confidence: 99%

Effects of Well Arrangement on Characterization of Discrete Fracture Systems by Inverse Analysis of Tracer Tests

Satô

Iwasaki

2006

J. Jpn. Petrol. Inst.

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Of interest in this study are the effects of well arrangement on the characterization of distributed multiple fractures through tracer tests. Numerical experiments with 1000 fracture-system realizations were conducted to simulate tracer tests for three different well arrangements: parallel, diagonal, and perpendicular with respect to the fracture orientation. Based on the numerical experiment outcomes, correlations between the representative fracture parameters (the total fracture length and the geometric mean of fracture lengths) and the characteristic parameters of the effl uent tracer concentration curve were developed by using a non-parametric regression technique. The quality of the fracture parameter estimations is acceptable for the parallel and perpendicular well arrangements. However, the individual fracture-system realizations cannot be distinguished for the diagonal arrangement using representative fracture parameters; thus, the estimation quality is poor. The diagonal well arrangement should be avoided when designing tracer tests for characterizing fracture systems.

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“…Its applicability has been demonstrated through permeability 13) , horizontal-sink productivity 14) , anisotropy 11) , and pseudo-skin 15) estimations.…”

Section: Alternating Conditional Expectationmentioning

confidence: 99%

Effects of Well Arrangement on Characterization of Discrete Fracture Systems by Inverse Analysis of Tracer Tests

Satô

Iwasaki

2006

J. Jpn. Petrol. Inst.

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“…In particular, as a commonly encountered Neumann boundary condition, an impermeable boundary is given as @ =@n = 0, and the corresponding condition in terms of the stream function becomes = constant (11) In this way, the Neumann boundary condition can be modelled by the CVBEM.…”

Section: Boundary Conditions In Engineering Problemsmentioning

confidence: 99%

“…In the presence of discrete heterogeneity, displacement problems [9] and horizontal-sink productivity [10] were studied. Sato et al [11] examined the consistency between fracture and anisotropic systems, Sutopo et al [12] computed benchmark performances of displacement problems in fractured reservoirs, Park and Ang [13] applied the CVBEM to heterogeneous media, and Whitley and Hromadka [14] considered approximate solutions to mixed boundary value problems. The applicability of the CVBEM is being broadened to many ow problems, and the application aspects have frequently been reported in recent years.…”

Section: Introductionmentioning

confidence: 99%

Treatment of Neumann boundaries in the complex variable boundary element method

Satô

Watanabe

2003

Commun. Numer. Meth. Engng.

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SUMMARYFor potential ow, the complex variable boundary element method (CVBEM) is formulated in terms of the velocity potential and the stream function . In actual ow problems, and @ =@n are given along Dirichlet and Neumann boundaries, respectively. In the CVBEM, the Neumann-type condition @ =@n is not directly handled, and, instead, is used to deÿne Neumann boundaries. Owing to this discrepancy, numerical di culties are raised along Neumann boundaries. The current study addresses two such di culties: (1) multiple Neumann boundaries and (2) branch cuts across Neumann boundaries. The ÿrst problem is due to the fact that along multiple boundaries cannot be speciÿed a priori, and the second problem is due to the discontinuous jump inherent in for sink=source singularities. To overcome these di culties, a new formulation of the CVBEM to solve for the unknown values and a proper way of branch-cut placement are proposed, and these techniques are veriÿed against example problems.

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Inconsistency between Fracture and Anisotropic Systems in Predicting Horizontal-sink Productivity.

Cited by 2 publications

References 3 publications

Effects of Well Arrangement on Characterization of Discrete Fracture Systems by Inverse Analysis of Tracer Tests

Effects of Well Arrangement on Characterization of Discrete Fracture Systems by Inverse Analysis of Tracer Tests

Treatment of Neumann boundaries in the complex variable boundary element method

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