Numerical Methods for Engineers

Griffiths, D. V.; Smith, I. M.

doi:10.1201/9781420010244

Cited by 89 publications

(65 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The forecast calculations involve determining the combined injection rate for wells located within a particular region of interest, accounting for the appropriate bulk volume, and scaling the background seismicity rate based on the region's surface area. We calculate the stressing rate with equation (2) and then integrate equation (1) numerically (using an explicit Runge-Kutta method with adaptive timestepping and embedded error estimates, Griffiths & Smith, 2006;Norbeck, 2016) to obtain the seismicity rate forecast. In all cases, we maintain consistency and minimize model complexity by using the same set of hydraulic and rate-and-state frictional properties (without appealing to heterogeneity) as listed in Table 1.…”

Section: Hydromechanical Earthquake Rate Forecastsmentioning

confidence: 99%

Hydromechanical Earthquake Nucleation Model Forecasts Onset, Peak, and Falling Rates of Induced Seismicity in Oklahoma and Kansas

Norbeck

Rubinstein

2018

Geophysical Research Letters

View full text Add to dashboard Cite

The earthquake activity in Oklahoma and Kansas that began in 2008 reflects the most widespread instance of induced seismicity observed to date. We develop a reservoir model to calculate the hydrologic conditions associated with the activity of 902 saltwater disposal wells injecting into the Arbuckle aquifer. Estimates of basement fault stressing conditions inform a rate‐and‐state friction earthquake nucleation model to forecast the seismic response to injection. Our model replicates many salient features of the induced earthquake sequence, including the onset of seismicity, the timing of the peak seismicity rate, and the reduction in seismicity following decreased disposal activity. We present evidence for variable time lags between changes in injection and seismicity rates, consistent with the prediction from rate‐and‐state theory that seismicity rate transients occur over timescales inversely proportional to stressing rate. Given the efficacy of the hydromechanical model, as confirmed through a likelihood statistical test, the results of this study support broader integration of earthquake physics within seismic hazard analysis.

show abstract

Section: Hydromechanical Earthquake Rate Forecastsmentioning

confidence: 99%

Hydromechanical Earthquake Nucleation Model Forecasts Onset, Peak, and Falling Rates of Induced Seismicity in Oklahoma and Kansas

Norbeck

Rubinstein

2018

Geophysical Research Letters

View full text Add to dashboard Cite

show abstract

“…It is reasonable to set λ such that the mean of the {λ i } parameters approximately equals to the mean of the (MOG approximated) degree distribution of the Poisson model. To achieve this, we used the bisection [15] rootfinder to find the appropriate parameter. The fitted parameters are collected in Table 3.…”

Section: Voting Model With Poisson Voting Lawmentioning

confidence: 99%

Voting to the Link: a Static Network Formation Model

Pethes¹,

Kovács²

2020

ACTA POLYTECH HUNG

View full text Add to dashboard Cite

It is well known that the structure of social, organization and economic networks have a huge effect on the behaviour of the underlying system. This structure is often considered as a network, and modelling the formation of these networks is an active research area of complex systems. In this paper we present a simple network generation model: there is a closed population of agents, and the agents are voting to the connections according to their fixed preferences. These preferences are denoted by real numbers, and can be considered as simply the desired number of connections or social capital.

show abstract

“…There are many different types of numerical differentiation formulations, depending on the number of points, direction of the formula and the required derivative order [54]. The Taylor expansion is a useful method to discretise partial differential equations to minimise and accurately predict the value of the error term.…”

Section: Taylor Expansionmentioning

confidence: 99%

Modelling of Non-Premixed Turbulent Combustion of Hydrogen using Conditional Moment Closure Method

Noor

Hairuddin

Wandel

et al. 2012

IOP Conf. Ser.: Mater. Sci. Eng.

View full text Add to dashboard Cite

Most of the electricity generation and energy for transport is still generated by the conversion of chemical to mechanical energy by burning the fuels in the combustion chamber. Regulation for pollution and the demand for more fuel economy had driven worldwide researcher to focus on combustion efficiency. In order to reduce experimental cost, accurate modelling and simulation is very critical step. Taylor series expansion was utilised to reduce the error term for the discretization. FORTRAN code was used to execute the discretized partial differential equation. Hydrogen combustion was simulated using Conditional Moment Closure (CMC) model. Combustion of hydrogen with oxygen was successfully simulated and reported in this paper.Published under licence by IOP Publishing Ltd

show abstract

Numerical Methods for Engineers

Cited by 89 publications

References 0 publications

Hydromechanical Earthquake Nucleation Model Forecasts Onset, Peak, and Falling Rates of Induced Seismicity in Oklahoma and Kansas

Hydromechanical Earthquake Nucleation Model Forecasts Onset, Peak, and Falling Rates of Induced Seismicity in Oklahoma and Kansas

Voting to the Link: a Static Network Formation Model

Modelling of Non-Premixed Turbulent Combustion of Hydrogen using Conditional Moment Closure Method

Contact Info

Product

Resources

About