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

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2023-09-01</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0000889900</issuerCik>
        <issuerName>PATTERSON UTI ENERGY INC</issuerName>
        <issuerTradingSymbol>PTEN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001989449</rptOwnerCik>
            <rptOwnerName>BEP Diamond Topco L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKSTONE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>345 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10154</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001989451</rptOwnerCik>
            <rptOwnerName>BEP Diamond Topco LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKSTONE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>345 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10154</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001989448</rptOwnerCik>
            <rptOwnerName>BEP Diamond Aggregator L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKSTONE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>345 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10154</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001886209</rptOwnerCik>
            <rptOwnerName>BCP VII/BEP II Holdings Manager L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKSTONE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>345 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10154</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001700376</rptOwnerCik>
            <rptOwnerName>Blackstone Energy Management Associates II L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKSTONE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>345 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10154</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001700377</rptOwnerCik>
            <rptOwnerName>Blackstone Management Associates VII L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKSTONE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>345 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10154</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001700374</rptOwnerCik>
            <rptOwnerName>BMA VII L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKSTONE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>345 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10154</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001700375</rptOwnerCik>
            <rptOwnerName>Blackstone EMA II L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKSTONE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>345 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10154</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <footnotes></footnotes>

    <remarks>As a result of an increase in the outstanding Common Stock in connection with the closing of the merger between the Issuer and NexTier Oilfield Solutions, Inc. as previously disclosed in the Current Report on Form 8-K filed by the Issuer with the SEC on September 1, 2023, the Reporting Persons' beneficial ownership decreased to less than 10% of the outstanding Common Stock and, accordingly, such Reporting Persons ceased being subject to Section 16. Due to the limitations of the electronic filing system, certain Reporting Persons are filing a separate Form 4.</remarks>

    <ownerSignature>
        <signatureName>BEP Diamond Topco L.P., By: BEP Diamond Topco LLC, its general partner, By: /s/ Darius Sepassi, Name: Darius Sepassi, Title: Vice President</signatureName>
        <signatureDate>2023-09-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BEP Diamond Topco LLC, By: /s/ Darius Sepassi, Name: Darius Sepassi, Title: Vice President</signatureName>
        <signatureDate>2023-09-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BEP Diamond Aggregator L.P., By: BCP VII/BEP II Holdings Manager L.L.C., its general partner, By: /s/ Omar Rehman, Name: Omar Rehman, Title: Chief Compliance Officer and Secretary</signatureName>
        <signatureDate>2023-09-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BCP VII/BEP II Holdings Manager L.L.C., By: /s/ Omar Rehman, Name: Omar Rehman, Title: Chief Compliance Officer and Secretary</signatureName>
        <signatureDate>2023-09-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Blackstone Energy Management Associates II L.L.C., By: Blackstone EMA II L.L.C., its sole member, By: /s/ Tabea Hsi, Name: Tabea Hsi, Title: Authorized Signatory</signatureName>
        <signatureDate>2023-09-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Blackstone Management Associates VII L.L.C., By: BMA VII L.L.C., its sole member, By: /s/ Tabea Hsi, Name: Tabea Hsi, Title: Authorized Signatory</signatureName>
        <signatureDate>2023-09-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BMA VII L.L.C., By: /s/ Tabea Hsi, Name: Tabea Hsi, Title: Authorized Signatory</signatureName>
        <signatureDate>2023-09-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Blackstone EMA II L.L.C., By: /s/ Tabea Hsi, Name: Tabea Hsi, Title: Authorized Signatory</signatureName>
        <signatureDate>2023-09-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
