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Induced aseismic slip and the onset of seismicity in displaced faults
We address aseismic fault slip and the onset of seismicity resulting from depletion-induced or injection-induced stresses in reservoirs with pre-existing vertical or inclined faults. Building on classic results, we discuss semi-analytical modelling techniques for fault slip including dislocation the...
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| Published in: | Geologie en mijnbouw 2022-01, Vol.101, Article e13 |
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| Language: | eng ; dut ; fre ; ger |
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| container_title | Geologie en mijnbouw |
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| creator | Jansen, Jan-Dirk Meulenbroek, Bernard |
| description | We address aseismic fault slip and the onset of seismicity resulting from depletion-induced or injection-induced stresses in reservoirs with pre-existing vertical or inclined faults. Building on classic results, we discuss semi-analytical modelling techniques for fault slip including dislocation theory, Cauchy-type singular integral equations and the use of Chebyshev polynomials for their solution and an eigenvalue-based stability analysis. We consider slip patch development during depletion for faults with zero, constant static and slip-weakening friction, and our results confirm earlier findings based on numerical simulation, in particular the aseismic growth of two slip patches that may subsequently merge and/or become unstable resulting in nucleation of seismic slip. New findings include improved approximate expressions for the induced seismic moment per unit strike length and a description of the effect of coupling between the slip patches which affects both forward simulation and eigenvalue computation for high values of the ratio of fault throw to reservoir height. Our implementation based on analytical inversion and semi-analytical integration with Chebyshev polynomials is more efficient and more robust than our numerical integration approach. It is not yet well suited for Monte Carlo simulation, which typically requires sub-second simulation times, but with some further development that option seems to be within reach. Moreover, our results offer a possibility for embedded fault modelling in large-scale numerical simulation tools. |
| doi_str_mv | 10.1017/njg.2022.9 |
| format | article |
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Building on classic results, we discuss semi-analytical modelling techniques for fault slip including dislocation theory, Cauchy-type singular integral equations and the use of Chebyshev polynomials for their solution and an eigenvalue-based stability analysis. We consider slip patch development during depletion for faults with zero, constant static and slip-weakening friction, and our results confirm earlier findings based on numerical simulation, in particular the aseismic growth of two slip patches that may subsequently merge and/or become unstable resulting in nucleation of seismic slip. New findings include improved approximate expressions for the induced seismic moment per unit strike length and a description of the effect of coupling between the slip patches which affects both forward simulation and eigenvalue computation for high values of the ratio of fault throw to reservoir height. Our implementation based on analytical inversion and semi-analytical integration with Chebyshev polynomials is more efficient and more robust than our numerical integration approach. It is not yet well suited for Monte Carlo simulation, which typically requires sub-second simulation times, but with some further development that option seems to be within reach. Moreover, our results offer a possibility for embedded fault modelling in large-scale numerical simulation tools.</description><identifier>ISSN: 0016-7746</identifier><identifier>EISSN: 1573-9708</identifier><identifier>DOI: 10.1017/njg.2022.9</identifier><language>eng ; dut ; fre ; ger</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Chebyshev approximation ; Computation ; Computer simulation ; Depletion ; Eigenvalues ; Fault lines ; Faults ; Friction ; Geological faults ; Integral equations ; Integration ; Mathematical analysis ; Mathematical models ; Modelling ; Monte Carlo simulation ; Nucleation ; Numerical integration ; Original Article ; Polynomials ; Reservoirs ; Robustness (mathematics) ; Seismic stability ; Seismicity ; Shear stress ; Simulation ; Singular integral equations ; Slip ; Stability analysis ; Statistical methods</subject><ispartof>Geologie en mijnbouw, 2022-01, Vol.101, Article e13</ispartof><rights>The Author(s), 2022. 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Building on classic results, we discuss semi-analytical modelling techniques for fault slip including dislocation theory, Cauchy-type singular integral equations and the use of Chebyshev polynomials for their solution and an eigenvalue-based stability analysis. We consider slip patch development during depletion for faults with zero, constant static and slip-weakening friction, and our results confirm earlier findings based on numerical simulation, in particular the aseismic growth of two slip patches that may subsequently merge and/or become unstable resulting in nucleation of seismic slip. New findings include improved approximate expressions for the induced seismic moment per unit strike length and a description of the effect of coupling between the slip patches which affects both forward simulation and eigenvalue computation for high values of the ratio of fault throw to reservoir height. 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Moreover, our results offer a possibility for embedded fault modelling in large-scale numerical simulation tools.</description><subject>Chebyshev approximation</subject><subject>Computation</subject><subject>Computer simulation</subject><subject>Depletion</subject><subject>Eigenvalues</subject><subject>Fault lines</subject><subject>Faults</subject><subject>Friction</subject><subject>Geological faults</subject><subject>Integral equations</subject><subject>Integration</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Modelling</subject><subject>Monte Carlo simulation</subject><subject>Nucleation</subject><subject>Numerical integration</subject><subject>Original Article</subject><subject>Polynomials</subject><subject>Reservoirs</subject><subject>Robustness (mathematics)</subject><subject>Seismic stability</subject><subject>Seismicity</subject><subject>Shear stress</subject><subject>Simulation</subject><subject>Singular integral equations</subject><subject>Slip</subject><subject>Stability analysis</subject><subject>Statistical methods</subject><issn>0016-7746</issn><issn>1573-9708</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNptkLFOwzAURS0EEqWw8AWW2BApz3aSV4-oKlCpEgvMlhPbxVGaBDsZ-vckaiQWpje8c--VDiH3DFYMGD431WHFgfOVvCALlqFIJML6kiwAWJ4gpvk1uYmxAgAhsmxBtrvGDKU1VEfr49GXNNa-o7oxtP-2tG2i7Wnr6Pz1_Yn6hhofu1pPMaeHuo-35MrpOtq7-S7J1-v2c_Oe7D_edpuXfaLHsT5huBa2hEIiaocGuMxkVjgrU-msQ26MlhZBo2MFpqy0Kee50KbICpFzbsSSPJx7u9D-DDb2qmqH0IyTiudrhgAoYaQez1QZ2hiDdaoL_qjDSTFQkyY1alKTJiVH-GmG9bEI3hzsX-c_-C-ZZ2lL</recordid><startdate>20220101</startdate><enddate>20220101</enddate><creator>Jansen, Jan-Dirk</creator><creator>Meulenbroek, Bernard</creator><general>Cambridge University Press</general><scope>IKXGN</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TN</scope><scope>7UA</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>H96</scope><scope>HCIFZ</scope><scope>L.G</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><orcidid>https://orcid.org/0000-0002-5056-8783</orcidid><orcidid>https://orcid.org/0000-0003-2492-6791</orcidid></search><sort><creationdate>20220101</creationdate><title>Induced aseismic slip and the onset of seismicity in displaced faults</title><author>Jansen, Jan-Dirk ; 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| ispartof | Geologie en mijnbouw, 2022-01, Vol.101, Article e13 |
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| language | eng ; dut ; fre ; ger |
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| source | Cambridge University Press |
| subjects | Chebyshev approximation Computation Computer simulation Depletion Eigenvalues Fault lines Faults Friction Geological faults Integral equations Integration Mathematical analysis Mathematical models Modelling Monte Carlo simulation Nucleation Numerical integration Original Article Polynomials Reservoirs Robustness (mathematics) Seismic stability Seismicity Shear stress Simulation Singular integral equations Slip Stability analysis Statistical methods |
| title | Induced aseismic slip and the onset of seismicity in displaced faults |
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