Table 3 Productivity equation summary table.

From: Productivity prediction, dynamic evaluation and reservoir heterogeneity analysis of HS 4 block carbonate gas reservoir

Phase

Productivity equation

Non-resistance flow /(104m3/d)

Gas test stage

Binomial

Pressure squared

\({p}_{R}^{2}-{p}_{wf}^{2}=0.00091q+1.68\times 1{0}^{-11}{q}^{2}\)

499

Quasi-pressure

\({\varphi }_{R}^{2}-{\varphi }_{wf}^{2}=0.0158q+1.23\times 1{0}^{-9}{q}^{2}\)

645

Exponential type

Pressure squared

\({q}_{sc}=1613.45\times ({p}_{R}^{2}-{p}_{wf}^{2}{)}^{0.9397}\)

481

Quasi-pressure

\({q}_{sc}=160.88\times ({\varphi }_{R}^{2}-{\varphi }_{wf}^{2}{)}^{0.8948}\)

704

One-point method

\({Q}_{AOF}=\frac{6qg}{\sqrt{1+48(\frac{{p}_{e}^{2}-{p}_{wf}^{2}}{{p}_{e}^{2}})}-1)}\)

217

235

256

382

Productivity test period

Test mining process

One-point method

Initial production

366

2023.1

341

Stable point productivity binomial method

Initial production

\({p}_{R}^{2}-{p}_{wf}^{2}=7.53q+6.54\times 1{0}^{-6}{q}^{2}\)

661

2023.1

638

Current forecast

Binomial

Pressure squared

/

339

Quasi-pressure

\({\varphi }_{R}^{2}-{\varphi }_{wf}^{2}=0.03166q+1.82\times 1{0}^{-9}{q}^{2}\)

405

Exponential type

Pressure squared

/

299

Quasi-pressure

\({q}_{sc}=40.68\times ({\varphi }_{R}^{2}-{\varphi }_{wf}^{2}{)}^{0.9707}\)

453

Recommend

\({\varphi }_{R}^{2}-{\varphi }_{wf}^{2}=0.03166q+1.82\times 1{0}^{-9}{q}^{2}\)

405