Well there's a complete lack of any decoupling capacitors in that circuit, so it's not going to work very well - and batteries won't last that long either because of it.
There's even a 'sticky' at the top of this very forum:
This question is asked repeatedly, and Audioguru always posts a really helpful graphic showing inverting and non-inverting opamp circuits for both single and dual supplies. So to avoid him doing this every time, I'm placing his graphic here, and making this thread 'sticky'. I've also uploaded...
www.electro-tech-online.com
But if you want to keep your existing circuit you need decoupling across the main supply (capacitor), on the artificial spilt supply (capacitor), and on the bias to the electret (resistor and capacitor). These are fundamental essential components in such a circuit, battery powered or not.