and the Guarantor named herein 91/2% SENIOR NOTES DUE 2016 SUPPLEMENTAL INDENTURE AND SUBSIDIARY GUARANTEE DATED AS OF JANUARY 29, 2010 THE BANK OF NEW YORK MELLON TRUST COMPANY, NATIONAL ASSOCIATION Trustee

Exhibit 2.10

COMPAGNIE GÉNÉRALE DE GÉOPHYSIQUE — VERITAS

and

the Guarantor named herein

9¹/2% SENIOR NOTES DUE 2016

SUPPLEMENTAL INDENTURE
AND SUBSIDIARY GUARANTEE

DATED AS OF JANUARY 29, 2010

THE BANK OF NEW YORK MELLON TRUST COMPANY,
NATIONAL ASSOCIATION

Trustee

     This SUPPLEMENTAL INDENTURE, dated as of January 29, 2010, is among Compagnie Générale de Géophysique — Veritas, a société anonyme incorporated in France and registered at the Paris commercial register under number 969 202 241 (the “Company”), CGGVeritas Services (UK) Holding B.V., a limited liability company organized under the laws of the Netherlands (the “Additional Guarantor”), and The Bank of New York Mellon Trust Company, National Association, as Trustee (the “Trustee”).

RECITALS

     WHEREAS, the Company and the Trustee entered into an Indenture, dated as of June 9, 2009 (the “Indenture”), pursuant to which the Company has originally issued $350,000,000 in principal amount of 9¹/2% Senior Notes due 2016 (the “Notes”);

     WHEREAS, Section 9.01(f) of the Indenture provides that the Company and the Trustee may amend or supplement the Indenture in order to execute and deliver a guarantee (a “Subsidiary Guarantee”) to comply with Section 10.02 thereof without the consent of the Holders of the Notes; and

     WHEREAS, all acts and things prescribed by the Indenture, by law and by the charter and the bylaws (or comparable constituent documents) of the Company, of the Additional Guarantor and of the Trustee necessary to make this Supplemental Indenture a valid instrument legally binding on the Company, the Additional Guarantor and the Trustee, in accordance with its terms, have been duly done and performed.

     NOW, THEREFORE, to comply with the provisions of the Indenture and in consideration of the above premises, the Company, the Additional Guarantor and the Trustee covenant and agree for the equal and proportionate benefit of the respective Holders of the Notes as follows:

ARTICLE 1

     Section 1.01. This Supplemental Indenture is supplemental to the Indenture and does and shall be deemed to form a part of, and shall be construed in connection with and as part of, the Indenture for any and all purposes.

     Section 1.02. This Supplemental Indenture shall become effective immediately upon its execution and delivery by each of the Company, the Additional Guarantor and the Trustee.

ARTICLE 2

     From this date, in accordance with Section 10.02 and by executing this Supplemental Indenture and the accompanying notation of Subsidiary Guarantee (a copy of which is attached hereto), the Additional Guarantor whose signature appears below is subject to the provisions of the Indenture to the extent provided for in Article 10 thereunder.

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ARTICLE 3

     Section 3.01. Except as specifically modified herein, the Indenture and the Notes are in all respects ratified and confirmed (mutatis mutandis) and shall remain in full force and effect in accordance with their terms with all capitalized terms used herein without definition having the same respective meanings ascribed to them as in the Indenture.

     Section 3.02. Except as otherwise expressly provided herein, no duties, responsibilities or liabilities are assumed, or shall be construed to be assumed, by the Trustee by reason of this Supplemental Indenture. This Supplemental Indenture is executed and accepted by the Trustee subject to all the terms and conditions set forth in the Indenture with the same force and effect as if those terms and conditions were repeated at length herein and made applicable to the Trustee with respect hereto.

     The Company and Additional Guarantor each represent and warrant to the Trustee that the Supplemental Indenture has been duly and validly executed and delivered by it and constitutes its legal, valid and binding obligations, enforceable against it in accordance with its terms.

     The Trustee shall not be responsible or accountable in any way whatsoever for or with respect to the validity, execution (by any party other than the Trustee) or sufficiency of this Supplemental Indenture and makes no representation with respect thereto.

     Section 3.03. THE LAW OF THE STATE OF NEW YORK SHALL GOVERN AND BE USED TO CONSTRUE AND ENFORCE THIS SUPPLEMENTAL INDENTURE.

     Section 3.04. The parties may sign any number of copies of this Supplemental Indenture. Each signed copy shall be an original, but all of such executed copies together shall represent the same agreement.

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     IN WITNESS WHEREOF, the parties hereto have caused this Supplemental Indenture to be duly executed, all as of the date first written above.

	COMPAGNIE GENERALE DE GEOPHYSIQUE — VERITAS
	By:	/s/ Xxxxxx Xxxxxx
		Name:	Xxxxxx Xxxxxx
		Title:	Chairman and Chief Executive Officer
	THE BANK OF NEW YORK MELLON TRUST COMPANY, NATIONAL ASSOCIATION, AS TRUSTEE
	By:	/s/ Xxxx Xxxxxx
		Name:	Xxxx Xxxxxx
		Title:	Senior Associate
	GUARANTOR CGGVERITAS SERVICES (UK) HOLDING B.V.
	By:	/s/ Xxxxxxxxx Xxxxxx
		Name:	Xxxxxxxxx Xxxxxx
		Title:	Managing Director