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Albert Shoemaker endowment"}],"content-domain":{"domain":["www.science.org"],"crossmark-restriction":true},"short-container-title":["Sci. Adv."],"published-print":{"date-parts":[[2026,1,9]]},"abstract":"<jats:p>\n                    Permeability evolves dynamically in the crust and mediates important natural and industrial processes in the subsurface. Episodic microearthquakes generate porosity and, thus, permeability by creating or reactivating fractures. We constrain the form of the scaling relationship linking seismic moment (\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>M<\/mml:mi>\n                            <mml:mn>0<\/mml:mn>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ) to incremental permeability generation (\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi mathvariant=\"normal\">\u0394<\/mml:mi>\n                          <mml:mi>k<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ) through a series of laboratory fault reactivation experiments with absolute constraint on seismic moment. We demonstrate\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi mathvariant=\"normal\">\u0394<\/mml:mi>\n                          <mml:mi>k<\/mml:mi>\n                          <mml:mo>\u2212<\/mml:mo>\n                          <mml:msub>\n                            <mml:mi>M<\/mml:mi>\n                            <mml:mn>0<\/mml:mn>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    proportionality at centimeter scale but confirm predictive power-law scaling using a first-order model as\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi mathvariant=\"normal\">\u0394<\/mml:mi>\n                          <mml:mi>k<\/mml:mi>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mi mathvariant=\"normal\">\u03bb<\/mml:mi>\n                          <mml:msubsup>\n                            <mml:mi>M<\/mml:mi>\n                            <mml:mn>0<\/mml:mn>\n                            <mml:mrow>\n                              <mml:mn>2<\/mml:mn>\n                              <mml:mo>\/<\/mml:mo>\n                              <mml:mn>3<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msubsup>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    from centimeter to subkilometer scale. Stress drop, fault roughness, and deformation modulus condition the prefactor\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi mathvariant=\"normal\">\u03bb<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    , extending over 10 decades for reasonable natural parameter ranges. However, observed permeabilities are much more tightly constrained, with\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi mathvariant=\"normal\">\u03bb<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    spanning only two orders of magnitude over length scales from centimeter to subkilometer, suggesting interdependencies in the controlling variables and rendering the relation as diagnostic in predicting fluid flow in crustal reservoirs.\n                  <\/jats:p>","DOI":"10.1126\/sciadv.ady5201","type":"journal-article","created":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T18:58:58Z","timestamp":1767985138000},"update-policy":"https:\/\/doi.org\/10.34133\/aaas_crossmark","source":"Crossref","is-referenced-by-count":5,"title":["Seismicity diagnostic of permeability creation from centimeter to subkilometer scales in crystalline rock during shear stimulation"],"prefix":"10.1126","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8774-8991","authenticated-orcid":true,"given":"Pengliang","family":"Yu","sequence":"first","affiliation":[{"name":"EMS Energy Institute, G3 Center and Department of Geoscience, Pennsylvania State University, University Park, USA."},{"name":"EMS Energy Institute, G3 Center and Department of Energy and Mineral Engineering, Pennsylvania State University, University Park, USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8275-0822","authenticated-orcid":true,"given":"Agathe","family":"Eijsink","sequence":"additional","affiliation":[{"name":"EMS Energy Institute, G3 Center and Department of Geoscience, Pennsylvania State University, University Park, USA."},{"name":"EMS Energy Institute, G3 Center and Department of Energy and Mineral Engineering, Pennsylvania State University, University Park, USA."},{"name":"TNO Geological Survey of the Netherlands, Utrecht, Netherlands."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Junpeng","family":"Wang","sequence":"additional","affiliation":[{"name":"EMS Energy Institute, G3 Center and Department of Energy and Mineral Engineering, Pennsylvania State University, University Park, USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4515-4500","authenticated-orcid":true,"given":"Chris","family":"Marone","sequence":"additional","affiliation":[{"name":"EMS Energy Institute, G3 Center and Department of Geoscience, Pennsylvania State University, University Park, USA."},{"name":"Dipartimento di Scienze della Terra, La Sapienza Universit\u00e0 di Roma, Roma, Italy."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4942-1151","authenticated-orcid":true,"given":"Derek","family":"Elsworth","sequence":"additional","affiliation":[{"name":"EMS Energy Institute, G3 Center and Department of Geoscience, Pennsylvania State University, University Park, USA."},{"name":"EMS Energy Institute, G3 Center and Department of Energy and Mineral Engineering, Pennsylvania State University, University Park, USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"221","reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1468-8123.2010.00278.x"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1029\/2011RG000382"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1029\/1998RG900002"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0148-9062(78)90957-9"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1029\/94GL01936"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1029\/JB086iB09p07855"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1029\/2019JB018790"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/2017GL076216"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1029\/97JB03402"},{"key":"e_1_3_2_11_2","article-title":"Evolution of permeability in a natural fracture: Significant role of pressure solution","volume":"109","author":"Yasuhara H.","year":"2004","unstructured":"H. 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