An asymptotic formula for the voltage potential in the case of a near-surface conductivity inclusion

被引:2
|
作者
Ammari, H [1 ]
Kang, H
Touibi, K
机构
[1] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
[2] Seoul Natl Univ, Sch Math Sci, Seoul 151747, South Korea
来源
关键词
conductivity inclusion; asymptotic formula; polarization tensor;
D O I
10.1007/s00033-005-0018-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We rigorously derive an asymptotic expansion of the steady-state voltage potentials in the presence of a conductivity inclusion of small volume that is close to a planar surface. This new formula is motivated by the practically important inverse problem of imaging a conductivity inclusion near a planar interface.
引用
收藏
页码:234 / 243
页数:10
相关论文
共 50 条
  • [1] An asymptotic formula for the voltage potential in the case of a near-surface conductivity inclusion
    Habib Ammari
    Hyeonbae Kang
    Karim Touibi
    Zeitschrift für angewandte Mathematik und Physik ZAMP, 2006, 57 : 234 - 243
  • [2] Near-surface hydraulic conductivity of northern hemisphere glaciers
    Stevens, Ian T.
    Irvine-Fynn, Tristram D. L.
    Porter, Philip R.
    Cook, Joseph M.
    Edwards, Arwyn
    Smart, Martin
    Moorman, Brian J.
    Hodson, Andy J.
    Mitchell, Andrew C.
    HYDROLOGICAL PROCESSES, 2018, 32 (07) : 850 - 865
  • [3] Controls on Near-Surface Hydraulic Conductivity in a Raised Bog
    Morris, Paul J.
    Baird, Andy J.
    Eades, Phil A.
    Surridge, Ben W. J.
    WATER RESOURCES RESEARCH, 2019, 55 (02) : 1531 - 1543
  • [4] INTERACTION BETWEEN A RIGID INDENTER AND A NEAR-SURFACE VOID OR INCLUSION
    MILLER, GR
    KEER, LM
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (03): : 615 - 620
  • [5] Asymptotic solution for a penny-shaped near-surface hydraulic fracture
    Bunger, AP
    Detournay, E
    ENGINEERING FRACTURE MECHANICS, 2005, 72 (16) : 2468 - 2486
  • [6] SHEAR STRESSES INDUCED BY HYDROSTATIC-PRESSURE NEAR-SURFACE OF AN INCLUSION
    STRELTSOV, VA
    PHYSICA STATUS SOLIDI A-APPLIED RESEARCH, 1978, 48 (01): : K23 - K25
  • [7] PREDICTION OF OIL OR GAS POTENTIAL BY NEAR-SURFACE GEOCHEMISTRY
    JONES, VT
    AAPG BULLETIN-AMERICAN ASSOCIATION OF PETROLEUM GEOLOGISTS, 1982, 66 (02): : 245 - 245
  • [8] PREDICTIONS OF OIL OR GAS POTENTIAL BY NEAR-SURFACE GEOCHEMISTRY
    JONES, VT
    DROZD, RJ
    AAPG BULLETIN-AMERICAN ASSOCIATION OF PETROLEUM GEOLOGISTS, 1983, 67 (06): : 932 - 952
  • [9] Localized Debonding as a Potential Mechanism for Near-Surface Cracking
    Hernando, David
    Magruder, Jeremy A.
    Zou, Jian
    Roque, Reynaldo
    8TH RILEM INTERNATIONAL CONFERENCE ON MECHANISMS OF CRACKING AND DEBONDING IN PAVEMENTS, 2016, 13 : 569 - 574
  • [10] PREDICTIONS OF OIL OR GAS POTENTIAL BY NEAR-SURFACE GEOCHEMISTRY
    JONES, VT
    DROZD, RJ
    AAPG BULLETIN-AMERICAN ASSOCIATION OF PETROLEUM GEOLOGISTS, 1979, 63 (04): : 699 - 699