Source: https://patents.google.com/patent/US8085050B2/en
Timestamp: 2018-11-13 05:43:57
Document Index: 571653398

Matched Legal Cases: ['Application No. 01', 'Application No. 00908351', 'Application No. 00908351', 'Application No. 2001', 'Application No. 200808573', 'Application No. 09', 'Application No. 10']

US8085050B2 - Robust inversion systems and methods for azimuthally sensitive resistivity logging tools - Google Patents
US8085050B2
US8085050B2 US12299760 US29976007A US8085050B2 US 8085050 B2 US8085050 B2 US 8085050B2 US 12299760 US12299760 US 12299760 US 29976007 A US29976007 A US 29976007A US 8085050 B2 US8085050 B2 US 8085050B2
US20100156424A1 (en )
H hx = M T ⁢ sin ⁢ ⁢ θ 4 ⁢ π ⁢ ( ⅇ ⅈ ⁢ ⁢ k h ⁢ L L 3 ⁡ [ 3 ⁢ sin 2 ⁢ θ - 1 + k n 2 ⁢ L 2 ⁢ cos 2 ⁢ θ + ⅈ ⁢ ⁢ k h ⁢ L sin 2 ⁢ θ + ⅈ ⁢ ⁢ k h ⁢ L ⁢ - 3 ⁢ ⅈ ⁢ ⁢ k h ⁢ L ⁢ ⁢ sin 2 ⁢ θ ] - ⅈ ⁢ ⁢ k h sin 2 ⁢ θ ⁢ ⅇ ⅈ ⁢ ⁢ k h ⁢ L ⁢ ⁢ β ) ⁢ ⅇ ⅈ ⁢ ⁢ k h ⁢ L [ 3 ] H hz = M T ⁢ cos ⁢ ⁢ θ 4 ⁢ π ⁢ ( ⅇ ⅈ ⁢ ⁢ k h ⁢ L L 3 ⁡ [ 3 ⁢ cos ⁢ ⁢ θsinθ - k h 2 ⁢ L 2 ⁢ cos ⁢ ⁢ θsin ⁢ ⁢ θ - 3 ⁢ ⅈ ⁢ ⁢ k h ⁢ L ⁢ ⁢ cos ⁢ ⁢ θ ⁢ ⁢ sin ⁢ ⁢ θ ] ) [ 4 ] H vx = M T ⁢ sin ⁢ ⁢ θ 4 ⁢ π ⁢ ( ⅇ ⅈ ⁢ ⁢ k h ⁢ L L 3 ⁡ [ 3 ⁢ cos ⁢ ⁢ θsinθ - k h 2 ⁢ L 2 ⁢ cos ⁢ ⁢ θsinθ - 3 ⁢ ⁢ ⅈ ⁢ ⁢ k h ⁢ L ⁢ ⁢ cos ⁢ ⁢ θsin ⁢ ⁢ θ ] ) [ 5 ] H vz = M T ⁢ cos ⁢ ⁢ θ 4 ⁢ π ⁢ ( ⅇ ⅈ ⁢ ⁢ k h ⁢ L L 3 ⁡ [ 3 ⁢ cos 2 ⁢ θ - 1 + k h 2 ⁢ L 2 ⁢ sin 2 ⁢ θ - 3 ⁢ ⅈ ⁢ ⁢ k h ⁢ L ⁢ ⁢ cos 2 ⁢ θ + ⅈ ⁢ ⁢ k h ⁢ L ] ) ⁢ ⁢ where ⁢ ⁢ k h = ω 2 ⁢ μ ⁡ ( ɛ h - ⅈσ h ω ) ⁢ ⁢ k v = ω 2 ⁢ μ ⁡ ( ɛ v - ⅈσ v ω ) ⁢ ⁢ β = cos 2 ⁢ θ + ( k v k h ) 2 ⁢ sin 2 ⁢ θ [ 6 ]
US20100156424A1 true US20100156424A1 (en) 2010-06-24
US8085050B2 true US8085050B2 (en) 2011-12-27
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"Australian First Examiner's Report", dated Mar. 5, 2010, Appl No. 2007349251, "Robust Inversion Systems and Methods for Azimuthally Sensitive Resistivity Logging Tools" filed Oct. 3, 2008.
"EP Non-Final Office Action", dated Dec. 30, 2009, Appl No. 01 962 294.03, Electromagnetic Wave Resistivity Tool Having a Tilted Antenna for Geosteering Within a Desired Payzone, filed Jul. 1, 2001, 3 pgs.
"European Office Action", dated Jul. 17, 2006, Application No. 01 096 294.3 , Electromagnetic wave resistivity tool having a tilted antenna for determining the horizontal and vertical resistivities and relative dip angle in anisotropic earth formations, Jul. 10, 2001.
"European Office Action", dated Jul. 31, 2007, Application No. 00908351.0, "Electromagnetic Wave Resistivity Tool Having a Tilted Antenna for Determining the Horizontal and Vertical Resistivities and Relative Dip Angle in Anisotropic Earth Formations" filed Jan. 24, 2000.
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"European Supplemental Search Report", dated Jun. 12, 2003 Application No. 00908351.0, "Electromagnetic Wave Resistivity Tool Having a Tilted Antenna for Determining the Horizontal and Vertical Resistivities and Relative Dip Angle in Anisotropic Earth Formations", filed Jan. 24, 2000.
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"Malaysian Search Report", dated Nov. 30, 2010, Appl No. 032599, "Robust Inversion Systems and Methods for Azimuthally Sensitive Resistivity Logging Tools" filed Oct. 15, 2008, 1 pg.
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"PCT International Preliminary Report on Patentability", dated Apr. 30, 2008, Appl No. PCT/US06/62149, "Antenna Coupling Component Measurement Tool Having a Rotating Antenna Configuration", filed Dec. 15, 2006, 6 pgs.
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"Singapore First Office Action", dated Apr. 11, 2009, Appl. No. 200808573-0, "Method and Apparatus for Building a Tilted Antenna", Filing Date Nov. 19, 2008, 8 pgs.
"US Final Office Action", dated Oct. 15, 2010, U.S. Appl. No. 12/467,427, "Electromagnetic Wave Resistivity Tool Having a Tilted Antenna for Determining the Horizontal and Vertical Resistivities and Relative Dip Angle in Anisotropic Earth Formations", May 18, 2009, 24 pgs.
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"US Non-Final Office Action", dated Apr. 26, 2000, Application No. 09/23832, "Electromagnetic Wave Resistivity Tool Having a Tilted Antenna for Determining the Horizontal and Vertical Resistivities and Relative Dip Angle in Anisotropic Earth Formations", filed Jan. 28, 1999.
"US Non-Final Office Action", dated Jul. 28, 2003, Application No. 10/255,048, "Electromagnetic Wave Resistivity Tool Having a Tilted Antenna for Determining the Horizontal and Vertical Resistivities and Relative Dip Angle in Anisotropic Earth Formations", filed Sep. 25, 2002.
"US Non-Final Office Action", dated Jun. 3, 2010, U.S. Appl. No. 12/467,434, "Electromagnetic Wave Resistivity Tool Having a Tilted Antenna for Geosteering Within a Desired Payzone", filed May 18, 2009, 19 pgs.
"US Non-Final Office Action", dated Mar. 15, 2010, U.S. Appl. No. 12/467,427, "Electromagnetic Wave Resistivity Tool Having a Tilted Antenna for Determining the Horizontal and Vertical Resistivities and Relative Dip Angle in Anisotropic Earth Formations", filed May 18, 2009, 25 pgs.
UK Examination Report, dated Aug. 19, 2011, Appl No. 0914189.6, "EM-Guided Drilling Relative to an Existing Borehole", filed Aug. 13, 2009, 5 pgs.
US Non-Final Office Action, dated Jul. 18, 2011, U.S. Appl. No. 12/306,954, "Method and Apparatus for Building a Tilted Antenna", filed Dec. 30, 2008, 21 pgs.
US20100156424A1 (en) 2010-06-24 application