<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0203</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2011-04-21</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001311486</issuerCik>
        <issuerName>Global Geophysical Services Inc</issuerName>
        <issuerTradingSymbol>GGS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001177417</rptOwnerCik>
            <rptOwnerName>MCCOY JOSEPH P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O GLOBAL GEOPHYSICAL SERVICES, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>13927 S. GESSNER RD.</rptOwnerStreet2>
            <rptOwnerCity>MISSOURI CITY</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77489</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <ownerSignature>
        <signatureName>/s/ Joseph P. McCoy</signatureName>
        <signatureDate>2011-05-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
