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Data · dataset · 2022

Post shut-in arrest and recession solutions for a deflating hydraulic fracture in a permeable elastic medium

Listed in Teesside University Research Data Repository

Description

This data set provides the numerical solutions generated using an Implicit Moving Mesh Algorithm (IMMA) that has been adapted to include the k-g, r-g multiscale and k and r-vertex asymptotes to model the post-shut-in arrest and recession of a radial hydraulic fracture in a permeable elastic medium. The theory behind this work is described in the paper "The arrest and recession dynamics of a deflating radial hydraulic fracture in a permeable elastic medium" published in the JMPS (doi.org/10.1016/j.jmps.2022.104926).

For the simulations I set the following parameters to unity: Ep = 1 mup = 1 Cp = 1 Q0 = 1 Since V0 = Q0*ts, from eq (39) in the paper you can vary omega = ts/tmm~ = ts (since all the material parameters in t_mm~ are 1) and choose the value of phi^V that you want by setting Kp as follows: Kp = (TS'*(phi).^(-65/9)).^(1/26); Recall: tmmt = (mup^4*Q0^6/Cp^18/Ep^4)^(1/7); omega = Ts/tmmt; phiV = (Ep^21*mup^5*Cp^10*Q0*Ts/Kp^26)^(9/65); Issue the command load(Extract_Radial_MKC1_Ts_1em3_phi_50); to access the structures Results, which contains the structure Input.

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The file names embed the two dimensionless parameters: omega=Ts/tmm~=Ts (since tmm~=1) and phiV. To avoid decimal points in the file name I have multiplied the phiV value by 100. So the above data file is for the case omega=10^{-3} and phiV=0.5.

Input = struct('Ep',Ep,... % Pa plane strain modulus 'mup',mup,... % Pa*s, alternate fluid viscosity 'Cp',Cp,... % m/s^1/2, alternate Carter's leak-off coefficient 'Kp',Kp,... % Pa*m^1/2, alternate fracture toughness 'Q0',Q0,... % m/s, injection rate 'Ts',Ts,... % shut-in time 'omega',omega,... % dimensionless shut-in time 'phiV',phiV,... % arrest regime parameter 'Nr',Nr,... % number of grid points in r direction 'Nt',itcol); % number of time steps till collapse Results=struct('pt',P(1,1:itcol),... % wellbore pressure versus t 'Rt',R(1:itcol),... % fracture radius versus t 'wt',W(1,1:itcol),... % wellbore aperture versus t 'eta',eta(1:itcol),... % efficiency versus t 'pr',P(:,1:itcol),... % fluid pressure versus r at all times Nt 'wr',W(:,1:itcol),... % fracture width versus r at all times Nt (because of the moving mesh to plot in real space use plot(rho*R(it),wr(:,it))) 'rho',rho,... % lateral spatial coordinate 't',time(1:itcol),... % time 'keyindx',[its ita itd itcol],... % key indices keyindx(1)=its (shut-in index), keyindx(2)=ita (arrest), keyindx(3)=itr (recession), keyindx(4)=itc (collapse) 'Input',Input); % Input Structure

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concepts[field].local:field:earth-environmentalmapping · researchdata tees ac ukconnector:researchdata_tees_ac_uk@1.0.0
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