<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019faede-5718-7ad0-98b2-b1821b2ce144,g:238fdbdf-1c68-4dd4-ab3c-9853a650b7cb-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://grantierra.com/role/CoverPage" xlink:type="simple" xlink:href="gte-20260804.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://grantierra.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019faede-5718-7548-ad20-9443eeff965b" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_DocumentType_019faede-5718-7548-ad20-9443eeff965b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019faede-5718-7c35-90b9-7137ed46aedf" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_DocumentPeriodEndDate_019faede-5718-7c35-90b9-7137ed46aedf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019faede-5718-75b7-9f94-5e0afd5ae182" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityRegistrantName_019faede-5718-75b7-9f94-5e0afd5ae182" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019faede-5718-79b0-b0de-0c0a8562c0c0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019faede-5718-79b0-b0de-0c0a8562c0c0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019faede-5718-7eca-9902-789677c1ffa5" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityFileNumber_019faede-5718-7eca-9902-789677c1ffa5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019faede-5718-770d-aa3e-bd806adeafd6" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityTaxIdentificationNumber_019faede-5718-770d-aa3e-bd806adeafd6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019faede-5718-7356-8b46-30c868619b3c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityAddressAddressLine1_019faede-5718-7356-8b46-30c868619b3c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019faede-5718-79d3-a579-616efc01b361" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityAddressCityOrTown_019faede-5718-79d3-a579-616efc01b361" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019faede-5718-73ad-85ce-6f449dc4e2d7" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityAddressStateOrProvince_019faede-5718-73ad-85ce-6f449dc4e2d7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCountry_019faede-5718-7406-8951-19f9646a5753" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCountry"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityAddressCountry_019faede-5718-7406-8951-19f9646a5753" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019faede-5718-7b62-8e92-238594541e2e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityAddressPostalZipCode_019faede-5718-7b62-8e92-238594541e2e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019faede-5718-7ad2-b9b1-086d8017b32f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_CityAreaCode_019faede-5718-7ad2-b9b1-086d8017b32f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019faede-5718-795a-8a2d-2a95d3f47788" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_LocalPhoneNumber_019faede-5718-795a-8a2d-2a95d3f47788" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019faede-5718-7a0a-a1cc-02a66f1293d6" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_WrittenCommunications_019faede-5718-7a0a-a1cc-02a66f1293d6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019faede-5718-71c3-a5b9-c833045a1c5e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_SolicitingMaterial_019faede-5718-71c3-a5b9-c833045a1c5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019faede-5718-7307-8dcf-719318d27f07" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_PreCommencementTenderOffer_019faede-5718-7307-8dcf-719318d27f07" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019faede-5718-7688-b841-c3e20e04b79f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019faede-5718-7688-b841-c3e20e04b79f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019faede-5718-7eb4-b638-69050ba87e92" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_Security12bTitle_019faede-5718-7eb4-b638-69050ba87e92" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019faede-5718-7f4c-9ade-54a9b2ce7b7a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_TradingSymbol_019faede-5718-7f4c-9ade-54a9b2ce7b7a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019faede-5718-77a2-882a-fc059ee299a7" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_SecurityExchangeName_019faede-5718-77a2-882a-fc059ee299a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019faede-5718-743d-88f9-141b5f5614d3" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityEmergingGrowthCompany_019faede-5718-743d-88f9-141b5f5614d3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019faede-5718-7d7f-b23e-b6ed44260a58" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_EntityCentralIndexKey_019faede-5718-7d7f-b23e-b6ed44260a58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019faede-5718-7ea0-9016-8936177a2d2c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019faede-5718-780c-9e4a-49e2cb0facb6" xlink:to="loc_dei_AmendmentFlag_019faede-5718-7ea0-9016-8936177a2d2c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
