DOI: 10.1007/bf00874485. Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales

Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales

10.1007/bf00874485

Crossref journal-article

Springer Science and Business Media LLC

pure and applied geophysics (297)

Bibliography

Hirata, T. (1989). Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales. Pure and Applied Geophysics, 131(1â2), 157â170.

Authors 1

Takayuki Hirata (first)

References 37 Referenced 240

Abe, K. (1978),Dislocations, Source Dimensions and Stresses Associated with Earthquakes in the Izu Peninsula, Japan, J. Phys. Earth26, 253–274. (10.4294/jpe1952.26.253) / J. Phys. Earth by K. Abe (1978)
Aki, K.,A probabilistic synthesis of precursory phenomena, InEarthquake Prediction (eds. Simpson, D. W. and Richards, P. G.) (Maurice Ewing Volume 4, AGU, Washington, D. C. 1981) pp. 566–574. / Earthquake Prediction / Maurice Ewing by K. Aki (1981)
Allègre, C. J., Le Mouel, J. L., andProvost, A. (1982),Scaling Rules in Rock Fracture and Possible Implications for Earthquake Prediction, Nature297, 47–49. (10.1038/297047a0) / Nature by C. J. Allègre (1982)
Aviles, C. A., Scholz, C. H., andBoatwright, J. (1987),Fractal Analysis Applied to Characteristic Segments of the San Andreas Fault, J. Geophys. Res.92, 331–344. (10.1029/JB092iB01p00331) / J. Geophys. Res. by C. A. Aviles (1987)
Barton, C. C., andLarsen, E. (1985),Fractal geometry of two-dimensional fracture networks at Yucca Mountain, Southwestern Nevada, InFundamentals of Rock Joints, Proc. Int. Sympo. on Fundamentals of Rock Joints, (ed. Stephansson, Ove), pp. 77–84.
Barton, C. C., andCameron, B. G. (1986),Fractal Scaling of Fracture and Fault Maps at Yucca Mountain, Southern Nevada, EOS (Transactions of the American Geophysical Union)67 (44), 870. / EOS (Transactions of the American Geophysical Union) by C. C. Barton (1986)
Brown, S. R., andScholz, C. H. (1985),Broad Bandwidth Study of the Topography of Natural Rock Surfaces, J. Geophys. Res.90, 12575–12582. (10.1029/JB090iB14p12575) / J. Geophys. Res. by S. R. Brown (1985)
Davidge, R. W. andGreen, T. J. (1968),The Strength of Two-phase Ceramic/Glass Material, J. Mater. Sci.3, 629–634. (10.1007/BF00757910) / J. Mater. Sci. by R. W. Davidge (1968)
Eykholt, R., andUmberger, D. K. (1986),Characterization of Fat Fractals in Nonlinear Dynamical Systems, Phys. Rev. Lett.57, 2333–2336. (10.1103/PhysRevLett.57.2333) / Phys. Rev. Lett. by R. Eykholt (1986)
Hirata, T., Satoh, T., andIto, K. (1987),Fractal Structure of Spatial Distribution of Microfracturing in Rock, Geophys. J. R. Astr. Soc.90, 369–374. (10.1111/j.1365-246X.1987.tb00732.x) / Geophys. J. R. Astr. Soc. by T. Hirata (1987)
Hirata, T. (1987),Omori's Power Law Aftershock Sequence of Microfracturing in the Rock Fracture Experiment, J. Geophys. Res.92, 6215–6221. (10.1029/JB092iB07p06215) / J. Geophys. Res. by T. Hirata (1987)
Kondratev, V. N., Kulukin, A. M., Ponomarev, V. S., Romashov, A. N., andChubarov, V. M. (1985),Investigation of a Two-layer Model of the Earth's Crust for Two-axis Extension of the Lower Layer, Izvestiya, Earth Physics21, (3), 176–183. / Earth Physics by V. N. Kondratev (1985)
Kagan, Y. Y., andKnopoff, L. (1978),Statistical Study of the Occurrence of Shallow Earthquakes, Geophys. J. R. Astr. Soc.55, 67–86. (10.1111/j.1365-246X.1978.tb04748.x) / J. R. Astr. Soc. by Y. Y. Kagan (1978)
Kagan, Y. Y., andKnopoff, L. (1980),Spatial Distribution of Earthquakes: The Two-point Correlation Function, Geophys. J. R. Astr. Soc.62, 303–320. (10.1111/j.1365-246X.1980.tb04857.x) / Geophys. J. R. Astr. Soc. by Y. Y. Kagan (1980)
Kagan, Y. Y., andKnopoff, L. (1981),Stochastic Synthesis of Earthquake Catalogs, J. Geophys. Res.86, 2853–2862. (10.1029/JB086iB04p02853) / J. Geophys. Res. by Y. Y. Kagan (1981)
King, G. (1983),The Accommodation of Large Strains in the Upper Lithosphere of the Earth and Other Solids by Self-similar Fault Systems: The Geometrical Origin of b-value, Pure Appl. Geophys.121, 761–815. (10.1007/BF02590182) / Pure Appl. Geophys. by G. King (1983)
Madden, T. R. (1983),Microcrack Connectivity in Rocks: A Renormalization Group Approach to the Critical Phenomena of Conduction and Failure in Crystalline Rocks, J. Geophys. Res.88, 585–592. (10.1029/JB088iB01p00585) / J. Geophys. Res. by T. R. Madden (1983)
Mandelbrot, B. B.,The Fractal Geometry of Nature (Freeman, New York 1983). / The Fractal Geometry of Nature by B. B. Mandelbrot (1983)
Matsuda, T.,Surface faults associated with Kita-Izu earthquake of 1930 in Izu Peninsula, Japan, inIzu Peninsula (eds. Hoshino, M., and Aoki, H.) (Tokai Univ. Press, Tokyo 1972), pp. 73–93 (in Japanese). / Izu Peninsula by T. Matsuda (1972)
Matsuda, T., Ota, Y., Okada, A., Shimizu, F., andTogo, M. (1977),Aerial Photo-interpretation of Active Faults—The Individual Difference and Examples, Bull, Earthq. Res. Inst. 52, 461–497. / Bull, Earthq. Res. Inst. by T. Matsuda (1977)
Matsuda, T.,Active faults and damaging earthquakes in Japan—Macroseismic zoning and precaution fault zones, InEarthquake Prediction (eds. Simpson, D. W. and Richards, P.G.) (Maurice Ewing Volume 4, AGU, Washington, D. C. 1981) pp. 279–289. / Earthquake Prediction / Maurice Ewing by T. Matsuda (1981)
Mogi, K. (1962),Magnitude-frequency Relation for Elastic Shocks Accompanying Fractures of Various Materials and Some Related Problems in Earthquakes, Bull. Earthq. Res. Inst.40, 831–853. / Bull. Earthq. Res. Inst. by K. Mogi (1962)
Nii, Y., Nakamura, H. Ito, K., Fujii, N., andMatsuda, J.,The fractal dimension of fractured fragments in relation with fracture energy, In Proc. the 18th I.S.A.S. Lunar and Planet. Sympo. (eds. H. Mizutani, Oya, H., and Shimizu, M.) (Institute of Space and Astronautical Science, Tokyo 1985) pp. 58–59. / Proc. the 18th I.S.A.S. Lunar and Planet. Sympo. by Y. Nii (1985)
Okubo, P. G., andAki, K. (1987),Fractal Geometry in the San Andreas Fault System, J. Geophys. Res.92, 345–355. (10.1029/JB092iB01p00345) / J. Geophys. Res. by P. G. Okubo (1987)
Otsuka, M. (1972),A Chain-reaction-type Source Model as a Tool to Interpret the Magnitude-frequency Relation of Earthquakes, J. Phys. Earth20, 35–45. (10.4294/jpe1952.20.35) / J. Phys. Earth by M. Otsuka (1972)
Research Group for Active Faults of Japan,Active Faults in Japan, Sheet Maps and Inventories (in Japanese) (Univ. of Tokyo Press, Tokyo 1980). / Active Faults in Japan, Sheet Maps and Inventories by Research Group for Active Faults of Japan (1980)
Sadovskiy, M. A., Golubeva, T. V., Pisarenko, V. F., andShnirman, M.G. (1984),Characteristic Dimensions of Rock and Hierarchial Properties of Seismicity, Izvestiya, Earth Physics20, 87–96. / Earth Physics by M. A. Sadovskiy (1984)
Saito, M., Kikuchi, M., andKudo, K. (1973),Analytical Solution of “Go-Game Model” of Earthquake, Zisin26, 19–25, (in Japanese). (10.4294/zisin1948.26.1_19) / Zisin by M. Saito (1973)
Scholz, C. H., (1968),Microfractures, Aftershocks, and Seismicity, Bull. Seismol. Soc. Am.58, 1117–1130. (10.1785/BSSA0580010399) / Bull. Seismol. Soc. Am. by C. H. Scholz (1968)
Scholz, C. H., andAviles, C. A. The fractal geometry of faults and faulting InEarthquake Source Mechanics (eds. Das, S., Boatwright, J., and Scholz, C. H.) (Maurice Ewing Volume 6, AGU, Washington, D. C. 1986) pp. 147–155. / Earthquake Source Mechanics / Maurice Ewing by C. H. Scholz (1986)
Smalley, R. F., Turcotte, D. L., andSolla, S. A. (1985),A Renormalization Group Approach to the Stick-slip Behavior of Faults, J. Geophys. Res.90, 1894–1900. (10.1029/JB090iB02p01894) / J. Geophys. Res. by R. F. Smalley (1985)
Stauffer, D.,Introduction to Percolation Theory (Taylor and Francis, London 1985). (10.4324/9780203211595) / Introduction to Percolation Theory by D. Stauffer (1985)
Takayasu, H. (1985),A Deterministic Model of Fracture, Prog. Theor. Phys.74, 1343–1345. (10.1143/PTP.74.1343) / Prog. Theor. Phys. by H. Takayasu (1985)
Turcotte, D. L., Smalley, R. F., andSolla, S. A. (1985),Collapse of Loaded Fractal Trees, Nature 313, 671–672. (10.1038/313671a0) / Nature by D. L. Turcotte (1985)
Turcotte, D. L. (1986),Fractals and Fragmentation J. Geophys. Res.91, 1921–1926. (10.1029/JB091iB02p01921) / J. Geophys. Res. by D. L. Turcotte (1986)
Vere-Jones, D. (1976),A Branching Model for Crack Propagation, Pure Appl. Geophys.114, 711–725. (10.1007/BF00875663) / Pure Appl. Geophys. by D. Vere-Jones (1976)
Watanabe, K. (1986),Stochastic Evaluation of the Two Dimensional Continuity of Fractures in a Rock Mass, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr.23, 431–437. (10.1016/0148-9062(86)92308-9) / Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. by K. Watanabe (1986)

Dates

Type	When
Created	20 years, 7 months ago (Dec. 27, 2004, 6:49 p.m.)
Deposited	1 year ago (July 26, 2024, 12:36 a.m.)
Indexed	3 days, 22 hours ago (Aug. 21, 2025, 12:44 p.m.)
Issued	36 years, 5 months ago (March 1, 1989)
Published	36 years, 5 months ago (March 1, 1989)
Published Print	36 years, 5 months ago (March 1, 1989)

Funders 0

None

BibTeX

@article{Hirata_1989, title={Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales}, volume={131}, ISSN={1420-9136}, url={http://dx.doi.org/10.1007/bf00874485}, DOI={10.1007/bf00874485}, number={1–2}, journal={pure and applied geophysics}, publisher={Springer Science and Business Media LLC}, author={Hirata, Takayuki}, year={1989}, month=mar, pages={157–170} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        21
      ]
    ],
    "date-time": "2025-08-21T16:44:30Z",
    "timestamp": 1755794670908
  },
  "reference-count": 37,
  "publisher": "Springer Science and Business Media LLC",
  "issue": "1-2",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1989,
            3,
            1
          ]
        ],
        "date-time": "1989-03-01T00:00:00Z",
        "timestamp": 604713600000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "https://www.springernature.com/gp/researchers/text-and-data-mining"
    },
    {
      "start": {
        "date-parts": [
          [
            1989,
            3,
            1
          ]
        ],
        "date-time": "1989-03-01T00:00:00Z",
        "timestamp": 604713600000
      },
      "content-version": "vor",
      "delay-in-days": 0,
      "URL": "https://www.springernature.com/gp/researchers/text-and-data-mining"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1989,
        3
      ]
    ]
  },
  "DOI": "10.1007/bf00874485",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2004,
        12,
        27
      ]
    ],
    "date-time": "2004-12-27T23:49:57Z",
    "timestamp": 1104191397000
  },
  "page": "157-170",
  "source": "Crossref",
  "is-referenced-by-count": 240,
  "title": "Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales",
  "prefix": "10.1007",
  "volume": "131",
  "author": [
    {
      "given": "Takayuki",
      "family": "Hirata",
      "sequence": "first",
      "affiliation": []
    }
  ],
  "member": "297",
  "reference": [
    {
      "key": "BF00874485_CR1",
      "doi-asserted-by": "crossref",
      "first-page": "253",
      "DOI": "10.4294/jpe1952.26.253",
      "volume": "26",
      "author": "K. Abe",
      "year": "1978",
      "unstructured": "Abe, K. (1978),Dislocations, Source Dimensions and Stresses Associated with Earthquakes in the Izu Peninsula, Japan, J. Phys. Earth26, 253\u2013274.",
      "journal-title": "J. Phys. Earth"
    },
    {
      "key": "BF00874485_CR2",
      "series-title": "Maurice Ewing",
      "first-page": "566",
      "volume-title": "Earthquake Prediction",
      "author": "K. Aki",
      "year": "1981",
      "unstructured": "Aki, K.,A probabilistic synthesis of precursory phenomena, InEarthquake Prediction (eds. Simpson, D. W. and Richards, P. G.) (Maurice Ewing Volume 4, AGU, Washington, D. C. 1981) pp. 566\u2013574."
    },
    {
      "key": "BF00874485_CR3",
      "doi-asserted-by": "crossref",
      "first-page": "47",
      "DOI": "10.1038/297047a0",
      "volume": "297",
      "author": "C. J. All\u00e8gre",
      "year": "1982",
      "unstructured": "All\u00e8gre, C. J., Le Mouel, J. L., andProvost, A. (1982),Scaling Rules in Rock Fracture and Possible Implications for Earthquake Prediction, Nature297, 47\u201349.",
      "journal-title": "Nature"
    },
    {
      "key": "BF00874485_CR4",
      "doi-asserted-by": "crossref",
      "first-page": "331",
      "DOI": "10.1029/JB092iB01p00331",
      "volume": "92",
      "author": "C. A. Aviles",
      "year": "1987",
      "unstructured": "Aviles, C. A., Scholz, C. H., andBoatwright, J. (1987),Fractal Analysis Applied to Characteristic Segments of the San Andreas Fault, J. Geophys. Res.92, 331\u2013344.",
      "journal-title": "J. Geophys. Res."
    },
    {
      "key": "BF00874485_CR5",
      "unstructured": "Barton, C. C., andLarsen, E. (1985),Fractal geometry of two-dimensional fracture networks at Yucca Mountain, Southwestern Nevada, InFundamentals of Rock Joints, Proc. Int. Sympo. on Fundamentals of Rock Joints, (ed. Stephansson, Ove), pp. 77\u201384."
    },
    {
      "issue": "44",
      "key": "BF00874485_CR6",
      "first-page": "870",
      "volume": "67",
      "author": "C. C. Barton",
      "year": "1986",
      "unstructured": "Barton, C. C., andCameron, B. G. (1986),Fractal Scaling of Fracture and Fault Maps at Yucca Mountain, Southern Nevada, EOS (Transactions of the American Geophysical Union)67 (44), 870.",
      "journal-title": "EOS (Transactions of the American Geophysical Union)"
    },
    {
      "key": "BF00874485_CR7",
      "doi-asserted-by": "crossref",
      "first-page": "12575",
      "DOI": "10.1029/JB090iB14p12575",
      "volume": "90",
      "author": "S. R. Brown",
      "year": "1985",
      "unstructured": "Brown, S. R., andScholz, C. H. (1985),Broad Bandwidth Study of the Topography of Natural Rock Surfaces, J. Geophys. Res.90, 12575\u201312582.",
      "journal-title": "J. Geophys. Res."
    },
    {
      "key": "BF00874485_CR8",
      "doi-asserted-by": "crossref",
      "first-page": "629",
      "DOI": "10.1007/BF00757910",
      "volume": "3",
      "author": "R. W. Davidge",
      "year": "1968",
      "unstructured": "Davidge, R. W. andGreen, T. J. (1968),The Strength of Two-phase Ceramic/Glass Material, J. Mater. Sci.3, 629\u2013634.",
      "journal-title": "J. Mater. Sci."
    },
    {
      "key": "BF00874485_CR9",
      "doi-asserted-by": "crossref",
      "first-page": "2333",
      "DOI": "10.1103/PhysRevLett.57.2333",
      "volume": "57",
      "author": "R. Eykholt",
      "year": "1986",
      "unstructured": "Eykholt, R., andUmberger, D. K. (1986),Characterization of Fat Fractals in Nonlinear Dynamical Systems, Phys. Rev. Lett.57, 2333\u20132336.",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "BF00874485_CR10",
      "doi-asserted-by": "crossref",
      "first-page": "369",
      "DOI": "10.1111/j.1365-246X.1987.tb00732.x",
      "volume": "90",
      "author": "T. Hirata",
      "year": "1987",
      "unstructured": "Hirata, T., Satoh, T., andIto, K. (1987),Fractal Structure of Spatial Distribution of Microfracturing in Rock, Geophys. J. R. Astr. Soc.90, 369\u2013374.",
      "journal-title": "Geophys. J. R. Astr. Soc."
    },
    {
      "key": "BF00874485_CR11",
      "doi-asserted-by": "crossref",
      "first-page": "6215",
      "DOI": "10.1029/JB092iB07p06215",
      "volume": "92",
      "author": "T. Hirata",
      "year": "1987",
      "unstructured": "Hirata, T. (1987),Omori's Power Law Aftershock Sequence of Microfracturing in the Rock Fracture Experiment, J. Geophys. Res.92, 6215\u20136221.",
      "journal-title": "J. Geophys. Res."
    },
    {
      "issue": "3",
      "key": "BF00874485_CR12",
      "first-page": "176",
      "volume": "21",
      "author": "V. N. Kondratev",
      "year": "1985",
      "unstructured": "Kondratev, V. N., Kulukin, A. M., Ponomarev, V. S., Romashov, A. N., andChubarov, V. M. (1985),Investigation of a Two-layer Model of the Earth's Crust for Two-axis Extension of the Lower Layer, Izvestiya, Earth Physics21, (3), 176\u2013183.",
      "journal-title": "Earth Physics"
    },
    {
      "key": "BF00874485_CR13",
      "doi-asserted-by": "crossref",
      "first-page": "67",
      "DOI": "10.1111/j.1365-246X.1978.tb04748.x",
      "volume": "55",
      "author": "Y. Y. Kagan",
      "year": "1978",
      "unstructured": "Kagan, Y. Y., andKnopoff, L. (1978),Statistical Study of the Occurrence of Shallow Earthquakes, Geophys. J. R. Astr. Soc.55, 67\u201386.",
      "journal-title": "J. R. Astr. Soc."
    },
    {
      "key": "BF00874485_CR14",
      "doi-asserted-by": "crossref",
      "first-page": "303",
      "DOI": "10.1111/j.1365-246X.1980.tb04857.x",
      "volume": "62",
      "author": "Y. Y. Kagan",
      "year": "1980",
      "unstructured": "Kagan, Y. Y., andKnopoff, L. (1980),Spatial Distribution of Earthquakes: The Two-point Correlation Function, Geophys. J. R. Astr. Soc.62, 303\u2013320.",
      "journal-title": "Geophys. J. R. Astr. Soc."
    },
    {
      "key": "BF00874485_CR15",
      "doi-asserted-by": "crossref",
      "first-page": "2853",
      "DOI": "10.1029/JB086iB04p02853",
      "volume": "86",
      "author": "Y. Y. Kagan",
      "year": "1981",
      "unstructured": "Kagan, Y. Y., andKnopoff, L. (1981),Stochastic Synthesis of Earthquake Catalogs, J. Geophys. Res.86, 2853\u20132862.",
      "journal-title": "J. Geophys. Res."
    },
    {
      "key": "BF00874485_CR16",
      "doi-asserted-by": "crossref",
      "first-page": "761",
      "DOI": "10.1007/BF02590182",
      "volume": "121",
      "author": "G. King",
      "year": "1983",
      "unstructured": "King, G. (1983),The Accommodation of Large Strains in the Upper Lithosphere of the Earth and Other Solids by Self-similar Fault Systems: The Geometrical Origin of b-value, Pure Appl. Geophys.121, 761\u2013815.",
      "journal-title": "Pure Appl. Geophys."
    },
    {
      "key": "BF00874485_CR17",
      "doi-asserted-by": "crossref",
      "first-page": "585",
      "DOI": "10.1029/JB088iB01p00585",
      "volume": "88",
      "author": "T. R. Madden",
      "year": "1983",
      "unstructured": "Madden, T. R. (1983),Microcrack Connectivity in Rocks: A Renormalization Group Approach to the Critical Phenomena of Conduction and Failure in Crystalline Rocks, J. Geophys. Res.88, 585\u2013592.",
      "journal-title": "J. Geophys. Res."
    },
    {
      "key": "BF00874485_CR18",
      "volume-title": "The Fractal Geometry of Nature",
      "author": "B. B. Mandelbrot",
      "year": "1983",
      "unstructured": "Mandelbrot, B. B.,The Fractal Geometry of Nature (Freeman, New York 1983)."
    },
    {
      "key": "BF00874485_CR19",
      "first-page": "73",
      "volume-title": "Izu Peninsula",
      "author": "T. Matsuda",
      "year": "1972",
      "unstructured": "Matsuda, T.,Surface faults associated with Kita-Izu earthquake of 1930 in Izu Peninsula, Japan, inIzu Peninsula (eds. Hoshino, M., and Aoki, H.) (Tokai Univ. Press, Tokyo 1972), pp. 73\u201393 (in Japanese)."
    },
    {
      "key": "BF00874485_CR20",
      "first-page": "461",
      "volume": "52",
      "author": "T. Matsuda",
      "year": "1977",
      "unstructured": "Matsuda, T., Ota, Y., Okada, A., Shimizu, F., andTogo, M. (1977),Aerial Photo-interpretation of Active Faults\u2014The Individual Difference and Examples, Bull, Earthq. Res. Inst. 52, 461\u2013497.",
      "journal-title": "Bull, Earthq. Res. Inst."
    },
    {
      "key": "BF00874485_CR21",
      "series-title": "Maurice Ewing",
      "first-page": "279",
      "volume-title": "Earthquake Prediction",
      "author": "T. Matsuda",
      "year": "1981",
      "unstructured": "Matsuda, T.,Active faults and damaging earthquakes in Japan\u2014Macroseismic zoning and precaution fault zones, InEarthquake Prediction (eds. Simpson, D. W. and Richards, P.G.) (Maurice Ewing Volume 4, AGU, Washington, D. C. 1981) pp. 279\u2013289."
    },
    {
      "key": "BF00874485_CR22",
      "first-page": "831",
      "volume": "40",
      "author": "K. Mogi",
      "year": "1962",
      "unstructured": "Mogi, K. (1962),Magnitude-frequency Relation for Elastic Shocks Accompanying Fractures of Various Materials and Some Related Problems in Earthquakes, Bull. Earthq. Res. Inst.40, 831\u2013853.",
      "journal-title": "Bull. Earthq. Res. Inst."
    },
    {
      "key": "BF00874485_CR23",
      "first-page": "58",
      "volume-title": "Proc. the 18th I.S.A.S. Lunar and Planet. Sympo.",
      "author": "Y. Nii",
      "year": "1985",
      "unstructured": "Nii, Y., Nakamura, H. Ito, K., Fujii, N., andMatsuda, J.,The fractal dimension of fractured fragments in relation with fracture energy, In Proc. the 18th I.S.A.S. Lunar and Planet. Sympo. (eds. H. Mizutani, Oya, H., and Shimizu, M.) (Institute of Space and Astronautical Science, Tokyo 1985) pp. 58\u201359."
    },
    {
      "key": "BF00874485_CR24",
      "doi-asserted-by": "crossref",
      "first-page": "345",
      "DOI": "10.1029/JB092iB01p00345",
      "volume": "92",
      "author": "P. G. Okubo",
      "year": "1987",
      "unstructured": "Okubo, P. G., andAki, K. (1987),Fractal Geometry in the San Andreas Fault System, J. Geophys. Res.92, 345\u2013355.",
      "journal-title": "J. Geophys. Res."
    },
    {
      "key": "BF00874485_CR25",
      "doi-asserted-by": "crossref",
      "first-page": "35",
      "DOI": "10.4294/jpe1952.20.35",
      "volume": "20",
      "author": "M. Otsuka",
      "year": "1972",
      "unstructured": "Otsuka, M. (1972),A Chain-reaction-type Source Model as a Tool to Interpret the Magnitude-frequency Relation of Earthquakes, J. Phys. Earth20, 35\u201345.",
      "journal-title": "J. Phys. Earth"
    },
    {
      "key": "BF00874485_CR26",
      "volume-title": "Active Faults in Japan, Sheet Maps and Inventories",
      "author": "Research Group for Active Faults of Japan",
      "year": "1980",
      "unstructured": "Research Group for Active Faults of Japan,Active Faults in Japan, Sheet Maps and Inventories (in Japanese) (Univ. of Tokyo Press, Tokyo 1980)."
    },
    {
      "key": "BF00874485_CR27",
      "first-page": "87",
      "volume": "20",
      "author": "M. A. Sadovskiy",
      "year": "1984",
      "unstructured": "Sadovskiy, M. A., Golubeva, T. V., Pisarenko, V. F., andShnirman, M.G. (1984),Characteristic Dimensions of Rock and Hierarchial Properties of Seismicity, Izvestiya, Earth Physics20, 87\u201396.",
      "journal-title": "Earth Physics"
    },
    {
      "key": "BF00874485_CR28",
      "doi-asserted-by": "crossref",
      "first-page": "19",
      "DOI": "10.4294/zisin1948.26.1_19",
      "volume": "26",
      "author": "M. Saito",
      "year": "1973",
      "unstructured": "Saito, M., Kikuchi, M., andKudo, K. (1973),Analytical Solution of \u201cGo-Game Model\u201d of Earthquake, Zisin26, 19\u201325, (in Japanese).",
      "journal-title": "Zisin"
    },
    {
      "key": "BF00874485_CR29",
      "doi-asserted-by": "crossref",
      "first-page": "1117",
      "DOI": "10.1785/BSSA0580010399",
      "volume": "58",
      "author": "C. H. Scholz",
      "year": "1968",
      "unstructured": "Scholz, C. H., (1968),Microfractures, Aftershocks, and Seismicity, Bull. Seismol. Soc. Am.58, 1117\u20131130.",
      "journal-title": "Bull. Seismol. Soc. Am."
    },
    {
      "key": "BF00874485_CR30",
      "series-title": "Maurice Ewing",
      "first-page": "147",
      "volume-title": "Earthquake Source Mechanics",
      "author": "C. H. Scholz",
      "year": "1986",
      "unstructured": "Scholz, C. H., andAviles, C. A.\nThe fractal geometry of faults and faulting InEarthquake Source Mechanics (eds. Das, S., Boatwright, J., and Scholz, C. H.) (Maurice Ewing Volume 6, AGU, Washington, D. C. 1986) pp. 147\u2013155."
    },
    {
      "key": "BF00874485_CR31",
      "doi-asserted-by": "crossref",
      "first-page": "1894",
      "DOI": "10.1029/JB090iB02p01894",
      "volume": "90",
      "author": "R. F. Smalley",
      "year": "1985",
      "unstructured": "Smalley, R. F., Turcotte, D. L., andSolla, S. A. (1985),A Renormalization Group Approach to the Stick-slip Behavior of Faults, J. Geophys. Res.90, 1894\u20131900.",
      "journal-title": "J. Geophys. Res."
    },
    {
      "key": "BF00874485_CR32",
      "doi-asserted-by": "crossref",
      "DOI": "10.4324/9780203211595",
      "volume-title": "Introduction to Percolation Theory",
      "author": "D. Stauffer",
      "year": "1985",
      "unstructured": "Stauffer, D.,Introduction to Percolation Theory (Taylor and Francis, London 1985)."
    },
    {
      "key": "BF00874485_CR33",
      "doi-asserted-by": "crossref",
      "first-page": "1343",
      "DOI": "10.1143/PTP.74.1343",
      "volume": "74",
      "author": "H. Takayasu",
      "year": "1985",
      "unstructured": "Takayasu, H. (1985),A Deterministic Model of Fracture, Prog. Theor. Phys.74, 1343\u20131345.",
      "journal-title": "Prog. Theor. Phys."
    },
    {
      "key": "BF00874485_CR34",
      "doi-asserted-by": "crossref",
      "first-page": "671",
      "DOI": "10.1038/313671a0",
      "volume": "313",
      "author": "D. L. Turcotte",
      "year": "1985",
      "unstructured": "Turcotte, D. L., Smalley, R. F., andSolla, S. A. (1985),Collapse of Loaded Fractal Trees, Nature 313, 671\u2013672.",
      "journal-title": "Nature"
    },
    {
      "key": "BF00874485_CR35",
      "doi-asserted-by": "crossref",
      "first-page": "1921",
      "DOI": "10.1029/JB091iB02p01921",
      "volume": "91",
      "author": "D. L. Turcotte",
      "year": "1986",
      "unstructured": "Turcotte, D. L. (1986),Fractals and Fragmentation J. Geophys. Res.91, 1921\u20131926.",
      "journal-title": "J. Geophys. Res."
    },
    {
      "key": "BF00874485_CR36",
      "doi-asserted-by": "crossref",
      "first-page": "711",
      "DOI": "10.1007/BF00875663",
      "volume": "114",
      "author": "D. Vere-Jones",
      "year": "1976",
      "unstructured": "Vere-Jones, D. (1976),A Branching Model for Crack Propagation, Pure Appl. Geophys.114, 711\u2013725.",
      "journal-title": "Pure Appl. Geophys."
    },
    {
      "key": "BF00874485_CR37",
      "doi-asserted-by": "crossref",
      "first-page": "431",
      "DOI": "10.1016/0148-9062(86)92308-9",
      "volume": "23",
      "author": "K. Watanabe",
      "year": "1986",
      "unstructured": "Watanabe, K. (1986),Stochastic Evaluation of the Two Dimensional Continuity of Fractures in a Rock Mass, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr.23, 431\u2013437.",
      "journal-title": "Int. J. Rock Mech. Min. Sci. and Geomech. Abstr."
    }
  ],
  "container-title": "pure and applied geophysics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://link.springer.com/content/pdf/10.1007/BF00874485.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://link.springer.com/article/10.1007/BF00874485/fulltext.html",
      "content-type": "text/html",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF00874485",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    },
    {
      "URL": "https://link.springer.com/content/pdf/10.1007/BF00874485.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        7,
        26
      ]
    ],
    "date-time": "2024-07-26T04:36:52Z",
    "timestamp": 1721968612000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://link.springer.com/10.1007/BF00874485"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1989,
        3
      ]
    ]
  },
  "references-count": 37,
  "journal-issue": {
    "issue": "1-2",
    "published-print": {
      "date-parts": [
        [
          1989,
          3
        ]
      ]
    }
  },
  "alternative-id": [
    "BF00874485"
  ],
  "URL": "http://dx.doi.org/10.1007/BF00874485",
  "relation": {},
  "ISSN": [
    "0033-4553",
    "1420-9136"
  ],
  "subject": [],
  "container-title-short": "PAGEOPH",
  "published": {
    "date-parts": [
      [
        1989,
        3
      ]
    ]
  }
}