>>So anything that breaks a marriage covenant is a type of spiritual adultery?
No - Adultery is adultery, sexual sin. Only sexual immorality is an acceptable reason God has given us for divorce. If your husband beats you or is abusive in ways that place your safety in danger, you have the God given freedom to separate (1 Cor. 7), but you should not remarry or start any other relationship at this time. You should wait for God to guide you.